2x-3(x+3)+12=3+5(x+1)

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Solution for 2x-3(x+3)+12=3+5(x+1) equation: 


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

Reorder the terms:
2x + -3(3 + x) + 12 = 3 + 5(x + 1)
2x + (3 * -3 + x * -3) + 12 = 3 + 5(x + 1)
2x + (-9 + -3x) + 12 = 3 + 5(x + 1)

Reorder the terms:
-9 + 12 + 2x + -3x = 3 + 5(x + 1)

Combine like terms: -9 + 12 = 3
3 + 2x + -3x = 3 + 5(x + 1)

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

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

Combine like terms: 3 + 5 = 8
3 + -1x = 8 + 5x

Solving
3 + -1x = 8 + 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.
3 + -1x + -5x = 8 + 5x + -5x

Combine like terms: -1x + -5x = -6x
3 + -6x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -6x = 8 + 0
3 + -6x = 8

Add '-3' to each side of the equation.
3 + -3 + -6x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 8 + -3
-6x = 8 + -3

Combine like terms: 8 + -3 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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