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

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


Simplifying
2(3x + 5) + -8 = -1x + 17

Reorder the terms:
2(5 + 3x) + -8 = -1x + 17
(5 * 2 + 3x * 2) + -8 = -1x + 17
(10 + 6x) + -8 = -1x + 17

Reorder the terms:
10 + -8 + 6x = -1x + 17

Combine like terms: 10 + -8 = 2
2 + 6x = -1x + 17

Reorder the terms:
2 + 6x = 17 + -1x

Solving
2 + 6x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 6x + x = 17 + -1x + x

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

Combine like terms: -1x + x = 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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