2*(x-3)-3*(4x-5)=17-8x

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Solution for 2*(x-3)-3*(4x-5)=17-8x equation: 


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

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

Reorder the terms:
-6 + 2x + -3(-5 + 4x) = 17 + -8x
-6 + 2x + (-5 * -3 + 4x * -3) = 17 + -8x
-6 + 2x + (15 + -12x) = 17 + -8x

Reorder the terms:
-6 + 15 + 2x + -12x = 17 + -8x

Combine like terms: -6 + 15 = 9
9 + 2x + -12x = 17 + -8x

Combine like terms: 2x + -12x = -10x
9 + -10x = 17 + -8x

Solving
9 + -10x = 17 + -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.
9 + -10x + 8x = 17 + -8x + 8x

Combine like terms: -10x + 8x = -2x
9 + -2x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + -2x = 17 + 0
9 + -2x = 17

Add '-9' to each side of the equation.
9 + -9 + -2x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 17 + -9
-2x = 17 + -9

Combine like terms: 17 + -9 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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