24-(8-10x)=4(2x-8)-10

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Solution for 24-(8-10x)=4(2x-8)-10 equation: 


Simplifying
24 + -1(8 + -10x) = 4(2x + -8) + -10
24 + (8 * -1 + -10x * -1) = 4(2x + -8) + -10
24 + (-8 + 10x) = 4(2x + -8) + -10

Combine like terms: 24 + -8 = 16
16 + 10x = 4(2x + -8) + -10

Reorder the terms:
16 + 10x = 4(-8 + 2x) + -10
16 + 10x = (-8 * 4 + 2x * 4) + -10
16 + 10x = (-32 + 8x) + -10

Reorder the terms:
16 + 10x = -32 + -10 + 8x

Combine like terms: -32 + -10 = -42
16 + 10x = -42 + 8x

Solving
16 + 10x = -42 + 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.
16 + 10x + -8x = -42 + 8x + -8x

Combine like terms: 10x + -8x = 2x
16 + 2x = -42 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + 2x = -42 + 0
16 + 2x = -42

Add '-16' to each side of the equation.
16 + -16 + 2x = -42 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -42 + -16
2x = -42 + -16

Combine like terms: -42 + -16 = -58
2x = -58

Divide each side by '2'.
x = -29

Simplifying
x = -29

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