3(x-1)+3x=4x-9

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Solution for 3(x-1)+3x=4x-9 equation:


Simplifying
3(x + -1) + 3x = 4x + -9

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

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

Reorder the terms:
-3 + 6x = -9 + 4x

Solving
-3 + 6x = -9 + 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.
-3 + 6x + -4x = -9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-3 + 2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 2x = -9 + 0
-3 + 2x = -9

Add '3' to each side of the equation.
-3 + 3 + 2x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -9 + 3
2x = -9 + 3

Combine like terms: -9 + 3 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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