-3(3x-6)+2x=3(x+4)

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Solution for -3(3x-6)+2x=3(x+4) equation:


Simplifying
-3(3x + -6) + 2x = 3(x + 4)

Reorder the terms:
-3(-6 + 3x) + 2x = 3(x + 4)
(-6 * -3 + 3x * -3) + 2x = 3(x + 4)
(18 + -9x) + 2x = 3(x + 4)

Combine like terms: -9x + 2x = -7x
18 + -7x = 3(x + 4)

Reorder the terms:
18 + -7x = 3(4 + x)
18 + -7x = (4 * 3 + x * 3)
18 + -7x = (12 + 3x)

Solving
18 + -7x = 12 + 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.
18 + -7x + -3x = 12 + 3x + -3x

Combine like terms: -7x + -3x = -10x
18 + -10x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -10x = 12 + 0
18 + -10x = 12

Add '-18' to each side of the equation.
18 + -18 + -10x = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = 12 + -18
-10x = 12 + -18

Combine like terms: 12 + -18 = -6
-10x = -6

Divide each side by '-10'.
x = 0.6

Simplifying
x = 0.6

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