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

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


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

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

Reorder the terms:
9 + -6x = -6 + 2x + 4x

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

Solving
9 + -6x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + -6x + -6x = -6 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
9 + -12x = -6 + 0
9 + -12x = -6

Add '-9' to each side of the equation.
9 + -9 + -12x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -12x = -6 + -9
-12x = -6 + -9

Combine like terms: -6 + -9 = -15
-12x = -15

Divide each side by '-12'.
x = 1.25

Simplifying
x = 1.25

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