3(2x-5)-2(2x-3)=15

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Solution for 3(2x-5)-2(2x-3)=15 equation: 


Simplifying
3(2x + -5) + -2(2x + -3) = 15

Reorder the terms:
3(-5 + 2x) + -2(2x + -3) = 15
(-5 * 3 + 2x * 3) + -2(2x + -3) = 15
(-15 + 6x) + -2(2x + -3) = 15

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

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

Combine like terms: -15 + 6 = -9
-9 + 6x + -4x = 15

Combine like terms: 6x + -4x = 2x
-9 + 2x = 15

Solving
-9 + 2x = 15

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 15 + 9
2x = 15 + 9

Combine like terms: 15 + 9 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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