Solve for x: Breaking Down the Equation 84/(2*7) - (63 - 2x) = ?

Question

$84:(2\cdot7)-(63-2x)=\text{?}$

00:00 Solve

00:03 Let's write division as a fraction

00:06 Negative times positive always equals negative

00:09 Negative times negative always equals positive

00:16 Let's factor 82 into factors 42 and 2

00:20 Let's reduce what we can

00:25 Let's factor 42 into factors 7 and 6

00:32 Let's reduce what we can

00:44 Let's use the distribution law and split 63 into 60 and 3

00:58 And this is the solution to the question

To solve the expression $84:(2\cdot7)-(63-2x)$ , we shall simplify step-by-step as follows:

Firstly, simplify the division: $84 \div (2 \cdot 7)$ .
- Calculate $2 \cdot 7 = 14$ .
- Then, perform the division: $84 \div 14 = 6$ .
Now, substitute the value from the division back into the main expression: $6 - (63 - 2x)$ .
Simplify the expression inside the parentheses: $63 - 2x$ .
Finally, apply the subtraction:
- Distribute the negative sign: $6 - 63 + 2x$ .
- Combine the constant terms: $-57 + 2x$ .

Therefore, the expression simplifies to $2x - 57$ .

$2x-57$