3x-5(x-4)=15+2x+17

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Solution for 3x-5(x-4)=15+2x+17 equation: 


Simplifying
3x + -5(x + -4) = 15 + 2x + 17

Reorder the terms:
3x + -5(-4 + x) = 15 + 2x + 17
3x + (-4 * -5 + x * -5) = 15 + 2x + 17
3x + (20 + -5x) = 15 + 2x + 17

Reorder the terms:
20 + 3x + -5x = 15 + 2x + 17

Combine like terms: 3x + -5x = -2x
20 + -2x = 15 + 2x + 17

Reorder the terms:
20 + -2x = 15 + 17 + 2x

Combine like terms: 15 + 17 = 32
20 + -2x = 32 + 2x

Solving
20 + -2x = 32 + 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 = 32 + 2x + -2x

Combine like terms: -2x + -2x = -4x
20 + -4x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -4x = 32 + 0
20 + -4x = 32

Add '-20' to each side of the equation.
20 + -20 + -4x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 32 + -20
-4x = 32 + -20

Combine like terms: 32 + -20 = 12
-4x = 12

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

Simplifying
x = -3

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