-2(-8x+7)-3x=5(x-5)-7

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Solution for -2(-8x+7)-3x=5(x-5)-7 equation:


Simplifying
-2(-8x + 7) + -3x = 5(x + -5) + -7

Reorder the terms:
-2(7 + -8x) + -3x = 5(x + -5) + -7
(7 * -2 + -8x * -2) + -3x = 5(x + -5) + -7
(-14 + 16x) + -3x = 5(x + -5) + -7

Combine like terms: 16x + -3x = 13x
-14 + 13x = 5(x + -5) + -7

Reorder the terms:
-14 + 13x = 5(-5 + x) + -7
-14 + 13x = (-5 * 5 + x * 5) + -7
-14 + 13x = (-25 + 5x) + -7

Reorder the terms:
-14 + 13x = -25 + -7 + 5x

Combine like terms: -25 + -7 = -32
-14 + 13x = -32 + 5x

Solving
-14 + 13x = -32 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 13x + -5x = -32 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-14 + 8x = -32 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 8x = -32 + 0
-14 + 8x = -32

Add '14' to each side of the equation.
-14 + 14 + 8x = -32 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = -32 + 14
8x = -32 + 14

Combine like terms: -32 + 14 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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