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

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


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

Reorder the terms:
2(-3 + 4x) = -1x + 12
(-3 * 2 + 4x * 2) = -1x + 12
(-6 + 8x) = -1x + 12

Reorder the terms:
-6 + 8x = 12 + -1x

Solving
-6 + 8x = 12 + -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.
-6 + 8x + x = 12 + -1x + x

Combine like terms: 8x + x = 9x
-6 + 9x = 12 + -1x + x

Combine like terms: -1x + x = 0
-6 + 9x = 12 + 0
-6 + 9x = 12

Add '6' to each side of the equation.
-6 + 6 + 9x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 12 + 6
9x = 12 + 6

Combine like terms: 12 + 6 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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