3(4-x)=-2(x-1)

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


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

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

Solving
12 + -3x = 2 + -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.
12 + -3x + 2x = 2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
12 + -1x = 2 + 0
12 + -1x = 2

Add '-12' to each side of the equation.
12 + -12 + -1x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 2 + -12
-1x = 2 + -12

Combine like terms: 2 + -12 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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