Solve for X: 7x × 4 = 56 | Basic Algebra Equation

Q: Should I multiply 7 × 4 first or divide by one of them?

Always multiply first! The equation $ 7x \times 4 = 56 $ means you have 28x total. Combine the numbers multiplying x before dividing.

Q: Can I divide by 7 first, then by 4?

Yes, that works too! Dividing by 7 gives you $ 4x = 8 $, then dividing by 4 gives $ x = 2 $. Either order gets the same answer.

Q: What if I accidentally divide 56 by 7 instead of 28?

You'd get $ x = 8 $, which is wrong! Always check: $ 7(8) \times 4 = 224 \neq 56 $. Remember to account for all factors multiplying x.

Q: Why does the order of operations matter here?

In $ 7x \times 4 $, multiplication happens left to right: (7x) × 4. This creates 28x total. Understanding this helps you divide by the correct coefficient.

Q: How do I know when I've simplified correctly?

When you have just x equals a number with no other terms or fractions. Then substitute back into the original equation to verify both sides are equal!

Linear Equations with Multiplication Steps

Solve the equation:

$7x \cdot 4 = 56$

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Understand the problem

Solve the equation:

$7x \cdot 4 = 56$

Step-by-step solution

To solve the equation $7x \cdot 4 = 56$ , start by simplifying the right side of the equation:

Divide both sides by 4 to isolate $7x$ :

$7x = \frac{56}{4}$

This simplifies to:

$7x = 14$

Next, divide both sides by 7 to solve for $x$ :

$x = \frac{14}{7}$

This gives us:

$x = 2$

Final Answer

$x=2$

Key Points to Remember

Essential concepts to master this topic

Order: Simplify by combining like terms first, then isolate variable
Technique: Divide both sides by coefficient: $28x ÷ 28 = 56 ÷ 28$
Check: Substitute back: $7(2) \times 4 = 28 \times 4 = 56$ ✓

Common Mistakes

Avoid these frequent errors

Dividing by only one factor instead of the full coefficient
Don't divide 56 by just 7 or just 4 = wrong answer like 8 or 14! You need to recognize that 7x × 4 creates a coefficient of 28x total. Always multiply the factors first (7 × 4 = 28), then divide both sides by that complete coefficient.

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

$$ 5x=25 $$

FAQ

Everything you need to know about this question

Should I multiply 7 × 4 first or divide by one of them?

Always multiply first! The equation $7x \times 4 = 56$ means you have 28x total. Combine the numbers multiplying x before dividing.

Can I divide by 7 first, then by 4?

Yes, that works too! Dividing by 7 gives you $4x = 8$ , then dividing by 4 gives $x = 2$ . Either order gets the same answer.

What if I accidentally divide 56 by 7 instead of 28?

You'd get $x = 8$ , which is wrong! Always check: $7(8) \times 4 = 224 \neq 56$ . Remember to account for all factors multiplying x.

Why does the order of operations matter here?

In $7x \times 4$ , multiplication happens left to right: (7x) × 4. This creates 28x total. Understanding this helps you divide by the correct coefficient.

How do I know when I've simplified correctly?

When you have just x equals a number with no other terms or fractions. Then substitute back into the original equation to verify both sides are equal!

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