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

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


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

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

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

Combine like terms: 10 + -8 = 2
2 + -6x = x + 17

Reorder the terms:
2 + -6x = 17 + x

Solving
2 + -6x = 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.
2 + -6x + -1x = 17 + x + -1x

Combine like terms: -6x + -1x = -7x
2 + -7x = 17 + x + -1x

Combine like terms: x + -1x = 0
2 + -7x = 17 + 0
2 + -7x = 17

Add '-2' to each side of the equation.
2 + -2 + -7x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 17 + -2
-7x = 17 + -2

Combine like terms: 17 + -2 = 15
-7x = 15

Divide each side by '-7'.
x = -2.142857143

Simplifying
x = -2.142857143

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