5x+12-3x=8-(2x+4)

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Solution for 5x+12-3x=8-(2x+4) equation: 


Simplifying
5x + 12 + -3x = 8 + -1(2x + 4)

Reorder the terms:
12 + 5x + -3x = 8 + -1(2x + 4)

Combine like terms: 5x + -3x = 2x
12 + 2x = 8 + -1(2x + 4)

Reorder the terms:
12 + 2x = 8 + -1(4 + 2x)
12 + 2x = 8 + (4 * -1 + 2x * -1)
12 + 2x = 8 + (-4 + -2x)

Combine like terms: 8 + -4 = 4
12 + 2x = 4 + -2x

Solving
12 + 2x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + 2x + 2x = 4 + -2x + 2x

Combine like terms: 2x + 2x = 4x
12 + 4x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 4x = 4 + 0
12 + 4x = 4

Add '-12' to each side of the equation.
12 + -12 + 4x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 4 + -12
4x = 4 + -12

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

Divide each side by '4'.
x = -2

Simplifying
x = -2

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