3x-2(x-4)+7=12-3x

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Solution for 3x-2(x-4)+7=12-3x equation:


Simplifying
3x + -2(x + -4) + 7 = 12 + -3x

Reorder the terms:
3x + -2(-4 + x) + 7 = 12 + -3x
3x + (-4 * -2 + x * -2) + 7 = 12 + -3x
3x + (8 + -2x) + 7 = 12 + -3x

Reorder the terms:
8 + 7 + 3x + -2x = 12 + -3x

Combine like terms: 8 + 7 = 15
15 + 3x + -2x = 12 + -3x

Combine like terms: 3x + -2x = 1x
15 + 1x = 12 + -3x

Solving
15 + 1x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
15 + 1x + 3x = 12 + -3x + 3x

Combine like terms: 1x + 3x = 4x
15 + 4x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 4x = 12 + 0
15 + 4x = 12

Add '-15' to each side of the equation.
15 + -15 + 4x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 12 + -15
4x = 12 + -15

Combine like terms: 12 + -15 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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