13x-3(2x-4)-17+5x=8x-12

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Solution for 13x-3(2x-4)-17+5x=8x-12 equation:


Simplifying
13x + -3(2x + -4) + -17 + 5x = 8x + -12

Reorder the terms:
13x + -3(-4 + 2x) + -17 + 5x = 8x + -12
13x + (-4 * -3 + 2x * -3) + -17 + 5x = 8x + -12
13x + (12 + -6x) + -17 + 5x = 8x + -12

Reorder the terms:
12 + -17 + 13x + -6x + 5x = 8x + -12

Combine like terms: 12 + -17 = -5
-5 + 13x + -6x + 5x = 8x + -12

Combine like terms: 13x + -6x = 7x
-5 + 7x + 5x = 8x + -12

Combine like terms: 7x + 5x = 12x
-5 + 12x = 8x + -12

Reorder the terms:
-5 + 12x = -12 + 8x

Solving
-5 + 12x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 12x + -8x = -12 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-5 + 4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 4x = -12 + 0
-5 + 4x = -12

Add '5' to each side of the equation.
-5 + 5 + 4x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -12 + 5
4x = -12 + 5

Combine like terms: -12 + 5 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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