5x-2(x-4)=8+5x+12

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Solution for 5x-2(x-4)=8+5x+12 equation:


Simplifying
5x + -2(x + -4) = 8 + 5x + 12

Reorder the terms:
5x + -2(-4 + x) = 8 + 5x + 12
5x + (-4 * -2 + x * -2) = 8 + 5x + 12
5x + (8 + -2x) = 8 + 5x + 12

Reorder the terms:
8 + 5x + -2x = 8 + 5x + 12

Combine like terms: 5x + -2x = 3x
8 + 3x = 8 + 5x + 12

Reorder the terms:
8 + 3x = 8 + 12 + 5x

Combine like terms: 8 + 12 = 20
8 + 3x = 20 + 5x

Solving
8 + 3x = 20 + 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.
8 + 3x + -5x = 20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
8 + -2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -2x = 20 + 0
8 + -2x = 20

Add '-8' to each side of the equation.
8 + -8 + -2x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 20 + -8
-2x = 20 + -8

Combine like terms: 20 + -8 = 12
-2x = 12

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

Simplifying
x = -6

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