2(x-1)+7=12-3(2x+1)

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Solution for 2(x-1)+7=12-3(2x+1) equation:


Simplifying
2(x + -1) + 7 = 12 + -3(2x + 1)

Reorder the terms:
2(-1 + x) + 7 = 12 + -3(2x + 1)
(-1 * 2 + x * 2) + 7 = 12 + -3(2x + 1)
(-2 + 2x) + 7 = 12 + -3(2x + 1)

Reorder the terms:
-2 + 7 + 2x = 12 + -3(2x + 1)

Combine like terms: -2 + 7 = 5
5 + 2x = 12 + -3(2x + 1)

Reorder the terms:
5 + 2x = 12 + -3(1 + 2x)
5 + 2x = 12 + (1 * -3 + 2x * -3)
5 + 2x = 12 + (-3 + -6x)

Combine like terms: 12 + -3 = 9
5 + 2x = 9 + -6x

Solving
5 + 2x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + 2x + 6x = 9 + -6x + 6x

Combine like terms: 2x + 6x = 8x
5 + 8x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 8x = 9 + 0
5 + 8x = 9

Add '-5' to each side of the equation.
5 + -5 + 8x = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 9 + -5
8x = 9 + -5

Combine like terms: 9 + -5 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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