2(3x-4)-4x=-(x+30)

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Solution for 2(3x-4)-4x=-(x+30) equation:


Simplifying
2(3x + -4) + -4x = -1(x + 30)

Reorder the terms:
2(-4 + 3x) + -4x = -1(x + 30)
(-4 * 2 + 3x * 2) + -4x = -1(x + 30)
(-8 + 6x) + -4x = -1(x + 30)

Combine like terms: 6x + -4x = 2x
-8 + 2x = -1(x + 30)

Reorder the terms:
-8 + 2x = -1(30 + x)
-8 + 2x = (30 * -1 + x * -1)
-8 + 2x = (-30 + -1x)

Solving
-8 + 2x = -30 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 2x + x = -30 + -1x + x

Combine like terms: 2x + x = 3x
-8 + 3x = -30 + -1x + x

Combine like terms: -1x + x = 0
-8 + 3x = -30 + 0
-8 + 3x = -30

Add '8' to each side of the equation.
-8 + 8 + 3x = -30 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -30 + 8
3x = -30 + 8

Combine like terms: -30 + 8 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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