3(2x-1)-2(2x-4)=15

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Solution for 3(2x-1)-2(2x-4)=15 equation:


Simplifying
3(2x + -1) + -2(2x + -4) = 15

Reorder the terms:
3(-1 + 2x) + -2(2x + -4) = 15
(-1 * 3 + 2x * 3) + -2(2x + -4) = 15
(-3 + 6x) + -2(2x + -4) = 15

Reorder the terms:
-3 + 6x + -2(-4 + 2x) = 15
-3 + 6x + (-4 * -2 + 2x * -2) = 15
-3 + 6x + (8 + -4x) = 15

Reorder the terms:
-3 + 8 + 6x + -4x = 15

Combine like terms: -3 + 8 = 5
5 + 6x + -4x = 15

Combine like terms: 6x + -4x = 2x
5 + 2x = 15

Solving
5 + 2x = 15

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 15 + -5
2x = 15 + -5

Combine like terms: 15 + -5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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