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

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


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

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

Solving
12 + -4x = -6 + -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 + -4x + 2x = -6 + -2x + 2x

Combine like terms: -4x + 2x = -2x
12 + -2x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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