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

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


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

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

Combine like terms: -6x + x = -5x
9 + -5x = 4(x + 3)

Reorder the terms:
9 + -5x = 4(3 + x)
9 + -5x = (3 * 4 + x * 4)
9 + -5x = (12 + 4x)

Solving
9 + -5x = 12 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
9 + -5x + -4x = 12 + 4x + -4x

Combine like terms: -5x + -4x = -9x
9 + -9x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -9x = 12 + 0
9 + -9x = 12

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

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

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

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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