2(4-5x)=-4(x+3)+8

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Solution for 2(4-5x)=-4(x+3)+8 equation: 


Simplifying
2(4 + -5x) = -4(x + 3) + 8
(4 * 2 + -5x * 2) = -4(x + 3) + 8
(8 + -10x) = -4(x + 3) + 8

Reorder the terms:
8 + -10x = -4(3 + x) + 8
8 + -10x = (3 * -4 + x * -4) + 8
8 + -10x = (-12 + -4x) + 8

Reorder the terms:
8 + -10x = -12 + 8 + -4x

Combine like terms: -12 + 8 = -4
8 + -10x = -4 + -4x

Solving
8 + -10x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -10x + 4x = -4 + -4x + 4x

Combine like terms: -10x + 4x = -6x
8 + -6x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + -6x = -4 + 0
8 + -6x = -4

Add '-8' to each side of the equation.
8 + -8 + -6x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -4 + -8
-6x = -4 + -8

Combine like terms: -4 + -8 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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