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

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Solution for 2(4x-1)+12=5(x-3)-(3x+3) equation:


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

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

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

Combine like terms: -2 + 12 = 10
10 + 8x = 5(x + -3) + -1(3x + 3)

Reorder the terms:
10 + 8x = 5(-3 + x) + -1(3x + 3)
10 + 8x = (-3 * 5 + x * 5) + -1(3x + 3)
10 + 8x = (-15 + 5x) + -1(3x + 3)

Reorder the terms:
10 + 8x = -15 + 5x + -1(3 + 3x)
10 + 8x = -15 + 5x + (3 * -1 + 3x * -1)
10 + 8x = -15 + 5x + (-3 + -3x)

Reorder the terms:
10 + 8x = -15 + -3 + 5x + -3x

Combine like terms: -15 + -3 = -18
10 + 8x = -18 + 5x + -3x

Combine like terms: 5x + -3x = 2x
10 + 8x = -18 + 2x

Solving
10 + 8x = -18 + 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.
10 + 8x + -2x = -18 + 2x + -2x

Combine like terms: 8x + -2x = 6x
10 + 6x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 6x = -18 + 0
10 + 6x = -18

Add '-10' to each side of the equation.
10 + -10 + 6x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -18 + -10
6x = -18 + -10

Combine like terms: -18 + -10 = -28
6x = -28

Divide each side by '6'.
x = -4.666666667

Simplifying
x = -4.666666667

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