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

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


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

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

Solving
12 + -4x = 2 + -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.
12 + -4x + 3x = 2 + -3x + 3x

Combine like terms: -4x + 3x = -1x
12 + -1x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 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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