Solve for X in 7(-2x+5)=77: Linear Equation Practice

Solve for x:

7(−2x+5)=77 7(-2x+5)=77

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:04 Open brackets properly, multiply by each factor
00:15 Arrange the equation so that one side has only the unknown X
00:25 Collect like terms
00:32 Isolate X
00:40 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for x:

7(−2x+5)=77 7(-2x+5)=77

2

Step-by-step solution

To open parentheses we will use the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

(7×−2x)+(7×5)=77 (7\times-2x)+(7\times5)=77

We multiply accordingly

−14x+35=77 -14x+35=77

We will move the 35 to the right section and change the sign accordingly:

−14x=77−35 -14x=77-35

We solve the subtraction exercise on the right side and we will obtain:

−14x=42 -14x=42

We divide both sections by -14

−14x−14=42−14 \frac{-14x}{-14}=\frac{42}{-14}

x=−3 x=-3

3

Final Answer

-3

Practice Quiz

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Solve for x:

\( 2(4-x)=8 \)

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