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

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


Simplifying
3(2x + -3) = -1x + 4x

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

Combine like terms: -1x + 4x = 3x
-9 + 6x = 3x

Solving
-9 + 6x = 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.
-9 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
-9 + 3x = 3x + -3x

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 0 + 9

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

Combine like terms: 0 + 9 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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