5x-3(x-2)=-3+5x-15

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Solution for 5x-3(x-2)=-3+5x-15 equation: 


Simplifying
5x + -3(x + -2) = -3 + 5x + -15

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

Reorder the terms:
6 + 5x + -3x = -3 + 5x + -15

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

Reorder the terms:
6 + 2x = -3 + -15 + 5x

Combine like terms: -3 + -15 = -18
6 + 2x = -18 + 5x

Solving
6 + 2x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -18 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -18 + 0
6 + -3x = -18

Add '-6' to each side of the equation.
6 + -6 + -3x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -18 + -6
-3x = -18 + -6

Combine like terms: -18 + -6 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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