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

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


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

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

Reorder the terms:
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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