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

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


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

Reorder the terms:
3x + -5(-4 + x) = -5 + 2x + 13
3x + (-4 * -5 + x * -5) = -5 + 2x + 13
3x + (20 + -5x) = -5 + 2x + 13

Reorder the terms:
20 + 3x + -5x = -5 + 2x + 13

Combine like terms: 3x + -5x = -2x
20 + -2x = -5 + 2x + 13

Reorder the terms:
20 + -2x = -5 + 13 + 2x

Combine like terms: -5 + 13 = 8
20 + -2x = 8 + 2x

Solving
20 + -2x = 8 + 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.
20 + -2x + -2x = 8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
20 + -4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -4x = 8 + 0
20 + -4x = 8

Add '-20' to each side of the equation.
20 + -20 + -4x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 8 + -20
-4x = 8 + -20

Combine like terms: 8 + -20 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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