3x-5(x-3)=-4+2x-13

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Solution for 3x-5(x-3)=-4+2x-13 equation: 


Simplifying
3x + -5(x + -3) = -4 + 2x + -13

Reorder the terms:
3x + -5(-3 + x) = -4 + 2x + -13
3x + (-3 * -5 + x * -5) = -4 + 2x + -13
3x + (15 + -5x) = -4 + 2x + -13

Reorder the terms:
15 + 3x + -5x = -4 + 2x + -13

Combine like terms: 3x + -5x = -2x
15 + -2x = -4 + 2x + -13

Reorder the terms:
15 + -2x = -4 + -13 + 2x

Combine like terms: -4 + -13 = -17
15 + -2x = -17 + 2x

Solving
15 + -2x = -17 + 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 + -2x + -2x = -17 + 2x + -2x

Combine like terms: -2x + -2x = -4x
15 + -4x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -4x = -17 + 0
15 + -4x = -17

Add '-15' to each side of the equation.
15 + -15 + -4x = -17 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -17 + -15
-4x = -17 + -15

Combine like terms: -17 + -15 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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