2(3x-1)*3-5(3x-1)*2=

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Solution for 2(3x-1)*3-5(3x-1)*2= equation:


Simplifying
2(3x + -1) * 3 + -5(3x + -1) * 2 = 0

Reorder the terms:
2(-1 + 3x) * 3 + -5(3x + -1) * 2 = 0

Reorder the terms for easier multiplication:
2 * 3(-1 + 3x) + -5(3x + -1) * 2 = 0

Multiply 2 * 3
6(-1 + 3x) + -5(3x + -1) * 2 = 0
(-1 * 6 + 3x * 6) + -5(3x + -1) * 2 = 0
(-6 + 18x) + -5(3x + -1) * 2 = 0

Reorder the terms:
-6 + 18x + -5(-1 + 3x) * 2 = 0

Reorder the terms for easier multiplication:
-6 + 18x + -5 * 2(-1 + 3x) = 0

Multiply -5 * 2
-6 + 18x + -10(-1 + 3x) = 0
-6 + 18x + (-1 * -10 + 3x * -10) = 0
-6 + 18x + (10 + -30x) = 0

Reorder the terms:
-6 + 10 + 18x + -30x = 0

Combine like terms: -6 + 10 = 4
4 + 18x + -30x = 0

Combine like terms: 18x + -30x = -12x
4 + -12x = 0

Solving
4 + -12x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -12x = 0 + -4

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

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

Divide each side by '-12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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