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

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


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

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

Reorder the terms:
2 + 4x + -3(-3 + 2x) = 15
2 + 4x + (-3 * -3 + 2x * -3) = 15
2 + 4x + (9 + -6x) = 15

Reorder the terms:
2 + 9 + 4x + -6x = 15

Combine like terms: 2 + 9 = 11
11 + 4x + -6x = 15

Combine like terms: 4x + -6x = -2x
11 + -2x = 15

Solving
11 + -2x = 15

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 15 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 15 + -11
-2x = 15 + -11

Combine like terms: 15 + -11 = 4
-2x = 4

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

Simplifying
x = -2

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