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

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


Simplifying
2(3 + -4x) + -5(2x + 3) = x + -17
(3 * 2 + -4x * 2) + -5(2x + 3) = x + -17
(6 + -8x) + -5(2x + 3) = x + -17

Reorder the terms:
6 + -8x + -5(3 + 2x) = x + -17
6 + -8x + (3 * -5 + 2x * -5) = x + -17
6 + -8x + (-15 + -10x) = x + -17

Reorder the terms:
6 + -15 + -8x + -10x = x + -17

Combine like terms: 6 + -15 = -9
-9 + -8x + -10x = x + -17

Combine like terms: -8x + -10x = -18x
-9 + -18x = x + -17

Reorder the terms:
-9 + -18x = -17 + x

Solving
-9 + -18x = -17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + -18x + -1x = -17 + x + -1x

Combine like terms: -18x + -1x = -19x
-9 + -19x = -17 + x + -1x

Combine like terms: x + -1x = 0
-9 + -19x = -17 + 0
-9 + -19x = -17

Add '9' to each side of the equation.
-9 + 9 + -19x = -17 + 9

Combine like terms: -9 + 9 = 0
0 + -19x = -17 + 9
-19x = -17 + 9

Combine like terms: -17 + 9 = -8
-19x = -8

Divide each side by '-19'.
x = 0.4210526316

Simplifying
x = 0.4210526316

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