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

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


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

Reorder the terms:
5 + 3(6 + x) = 2x + -3(x + -5)
5 + (6 * 3 + x * 3) = 2x + -3(x + -5)
5 + (18 + 3x) = 2x + -3(x + -5)

Combine like terms: 5 + 18 = 23
23 + 3x = 2x + -3(x + -5)

Reorder the terms:
23 + 3x = 2x + -3(-5 + x)
23 + 3x = 2x + (-5 * -3 + x * -3)
23 + 3x = 2x + (15 + -3x)

Reorder the terms:
23 + 3x = 15 + 2x + -3x

Combine like terms: 2x + -3x = -1x
23 + 3x = 15 + -1x

Solving
23 + 3x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
23 + 3x + x = 15 + -1x + x

Combine like terms: 3x + x = 4x
23 + 4x = 15 + -1x + x

Combine like terms: -1x + x = 0
23 + 4x = 15 + 0
23 + 4x = 15

Add '-23' to each side of the equation.
23 + -23 + 4x = 15 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 15 + -23
4x = 15 + -23

Combine like terms: 15 + -23 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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