2(3x+4)-5(x+6)=-3(-x+4)

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Solution for 2(3x+4)-5(x+6)=-3(-x+4) equation:


Simplifying
2(3x + 4) + -5(x + 6) = -3(-1x + 4)

Reorder the terms:
2(4 + 3x) + -5(x + 6) = -3(-1x + 4)
(4 * 2 + 3x * 2) + -5(x + 6) = -3(-1x + 4)
(8 + 6x) + -5(x + 6) = -3(-1x + 4)

Reorder the terms:
8 + 6x + -5(6 + x) = -3(-1x + 4)
8 + 6x + (6 * -5 + x * -5) = -3(-1x + 4)
8 + 6x + (-30 + -5x) = -3(-1x + 4)

Reorder the terms:
8 + -30 + 6x + -5x = -3(-1x + 4)

Combine like terms: 8 + -30 = -22
-22 + 6x + -5x = -3(-1x + 4)

Combine like terms: 6x + -5x = 1x
-22 + 1x = -3(-1x + 4)

Reorder the terms:
-22 + 1x = -3(4 + -1x)
-22 + 1x = (4 * -3 + -1x * -3)
-22 + 1x = (-12 + 3x)

Solving
-22 + 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.
-22 + 1x + -3x = -12 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-22 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + -2x = -12 + 0
-22 + -2x = -12

Add '22' to each side of the equation.
-22 + 22 + -2x = -12 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = -12 + 22
-2x = -12 + 22

Combine like terms: -12 + 22 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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