5(10-x)+8=-8(x-3)-8

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Solution for 5(10-x)+8=-8(x-3)-8 equation: 


Simplifying
5(10 + -1x) + 8 = -8(x + -3) + -8
(10 * 5 + -1x * 5) + 8 = -8(x + -3) + -8
(50 + -5x) + 8 = -8(x + -3) + -8

Reorder the terms:
50 + 8 + -5x = -8(x + -3) + -8

Combine like terms: 50 + 8 = 58
58 + -5x = -8(x + -3) + -8

Reorder the terms:
58 + -5x = -8(-3 + x) + -8
58 + -5x = (-3 * -8 + x * -8) + -8
58 + -5x = (24 + -8x) + -8

Reorder the terms:
58 + -5x = 24 + -8 + -8x

Combine like terms: 24 + -8 = 16
58 + -5x = 16 + -8x

Solving
58 + -5x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
58 + -5x + 8x = 16 + -8x + 8x

Combine like terms: -5x + 8x = 3x
58 + 3x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
58 + 3x = 16 + 0
58 + 3x = 16

Add '-58' to each side of the equation.
58 + -58 + 3x = 16 + -58

Combine like terms: 58 + -58 = 0
0 + 3x = 16 + -58
3x = 16 + -58

Combine like terms: 16 + -58 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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