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

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


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

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

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

Reorder the terms:
2 + 3 + 2x + -6x = -15

Combine like terms: 2 + 3 = 5
5 + 2x + -6x = -15

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

Solving
5 + -4x = -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 + -4x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -15 + -5
-4x = -15 + -5

Combine like terms: -15 + -5 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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