5(2x+3)=3(2x-1)-6

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Solution for 5(2x+3)=3(2x-1)-6 equation: 


Simplifying
5(2x + 3) = 3(2x + -1) + -6

Reorder the terms:
5(3 + 2x) = 3(2x + -1) + -6
(3 * 5 + 2x * 5) = 3(2x + -1) + -6
(15 + 10x) = 3(2x + -1) + -6

Reorder the terms:
15 + 10x = 3(-1 + 2x) + -6
15 + 10x = (-1 * 3 + 2x * 3) + -6
15 + 10x = (-3 + 6x) + -6

Reorder the terms:
15 + 10x = -3 + -6 + 6x

Combine like terms: -3 + -6 = -9
15 + 10x = -9 + 6x

Solving
15 + 10x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 10x + -6x = -9 + 6x + -6x

Combine like terms: 10x + -6x = 4x
15 + 4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 4x = -9 + 0
15 + 4x = -9

Add '-15' to each side of the equation.
15 + -15 + 4x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = -9 + -15
4x = -9 + -15

Combine like terms: -9 + -15 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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