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

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


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

Reorder the terms:
-3(-5 + 2x) = 2(x + 1) + -3
(-5 * -3 + 2x * -3) = 2(x + 1) + -3
(15 + -6x) = 2(x + 1) + -3

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

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

Combine like terms: 2 + -3 = -1
15 + -6x = -1 + 2x

Solving
15 + -6x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -6x + -2x = -1 + 2x + -2x

Combine like terms: -6x + -2x = -8x
15 + -8x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -8x = -1 + 0
15 + -8x = -1

Add '-15' to each side of the equation.
15 + -15 + -8x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -1 + -15
-8x = -1 + -15

Combine like terms: -1 + -15 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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