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) + -1x = 4(x + 3)

Reorder the terms:
3(-3 + 2x) + -1x = 4(x + 3)
(-3 * 3 + 2x * 3) + -1x = 4(x + 3)
(-9 + 6x) + -1x = 4(x + 3)

Combine like terms: 6x + -1x = 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 = 1x
-9 + 1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 1x = 12 + 0
-9 + 1x = 12

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

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

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

Divide each side by '1'.
x = 21

Simplifying
x = 21

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