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

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


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

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

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

Reorder the terms:
12 + 2x = 3(-3 + x)
12 + 2x = (-3 * 3 + x * 3)
12 + 2x = (-9 + 3x)

Solving
12 + 2x = -9 + 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 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
12 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -1x = -9 + 0
12 + -1x = -9

Add '-12' to each side of the equation.
12 + -12 + -1x = -9 + -12

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

Combine like terms: -9 + -12 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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