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

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


Simplifying
12 + -1(x + 5) = 4x + -8

Reorder the terms:
12 + -1(5 + x) = 4x + -8
12 + (5 * -1 + x * -1) = 4x + -8
12 + (-5 + -1x) = 4x + -8

Combine like terms: 12 + -5 = 7
7 + -1x = 4x + -8

Reorder the terms:
7 + -1x = -8 + 4x

Solving
7 + -1x = -8 + 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.
7 + -1x + -4x = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
7 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -5x = -8 + 0
7 + -5x = -8

Add '-7' to each side of the equation.
7 + -7 + -5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -8 + -7
-5x = -8 + -7

Combine like terms: -8 + -7 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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