-3(x-7)=13-x

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Solution for -3(x-7)=13-x equation:


Simplifying
-3(x + -7) = 13 + -1x

Reorder the terms:
-3(-7 + x) = 13 + -1x
(-7 * -3 + x * -3) = 13 + -1x
(21 + -3x) = 13 + -1x

Solving
21 + -3x = 13 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
21 + -3x + x = 13 + -1x + x

Combine like terms: -3x + x = -2x
21 + -2x = 13 + -1x + x

Combine like terms: -1x + x = 0
21 + -2x = 13 + 0
21 + -2x = 13

Add '-21' to each side of the equation.
21 + -21 + -2x = 13 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 13 + -21
-2x = 13 + -21

Combine like terms: 13 + -21 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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