-5(x-7)=3(x+2)-7

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Solution for -5(x-7)=3(x+2)-7 equation: 


Simplifying
-5(x + -7) = 3(x + 2) + -7

Reorder the terms:
-5(-7 + x) = 3(x + 2) + -7
(-7 * -5 + x * -5) = 3(x + 2) + -7
(35 + -5x) = 3(x + 2) + -7

Reorder the terms:
35 + -5x = 3(2 + x) + -7
35 + -5x = (2 * 3 + x * 3) + -7
35 + -5x = (6 + 3x) + -7

Reorder the terms:
35 + -5x = 6 + -7 + 3x

Combine like terms: 6 + -7 = -1
35 + -5x = -1 + 3x

Solving
35 + -5x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
35 + -5x + -3x = -1 + 3x + -3x

Combine like terms: -5x + -3x = -8x
35 + -8x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + -8x = -1 + 0
35 + -8x = -1

Add '-35' to each side of the equation.
35 + -35 + -8x = -1 + -35

Combine like terms: 35 + -35 = 0
0 + -8x = -1 + -35
-8x = -1 + -35

Combine like terms: -1 + -35 = -36
-8x = -36

Divide each side by '-8'.
x = 4.5

Simplifying
x = 4.5

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