2(4x+5)-10=4(x-4)+x

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Solution for 2(4x+5)-10=4(x-4)+x equation: 


Simplifying
2(4x + 5) + -10 = 4(x + -4) + x

Reorder the terms:
2(5 + 4x) + -10 = 4(x + -4) + x
(5 * 2 + 4x * 2) + -10 = 4(x + -4) + x
(10 + 8x) + -10 = 4(x + -4) + x

Reorder the terms:
10 + -10 + 8x = 4(x + -4) + x

Combine like terms: 10 + -10 = 0
0 + 8x = 4(x + -4) + x
8x = 4(x + -4) + x

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

Combine like terms: 4x + x = 5x
8x = -16 + 5x

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

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

Combine like terms: 5x + -5x = 0
3x = -16 + 0
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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