2(x+3)-(6x-1)=8x-17

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Solution for 2(x+3)-(6x-1)=8x-17 equation:


Simplifying
2(x + 3) + -1(6x + -1) = 8x + -17

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

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

Reorder the terms:
6 + 1 + 2x + -6x = 8x + -17

Combine like terms: 6 + 1 = 7
7 + 2x + -6x = 8x + -17

Combine like terms: 2x + -6x = -4x
7 + -4x = 8x + -17

Reorder the terms:
7 + -4x = -17 + 8x

Solving
7 + -4x = -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.
7 + -4x + -8x = -17 + 8x + -8x

Combine like terms: -4x + -8x = -12x
7 + -12x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -12x = -17 + 0
7 + -12x = -17

Add '-7' to each side of the equation.
7 + -7 + -12x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -12x = -17 + -7
-12x = -17 + -7

Combine like terms: -17 + -7 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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