9x-(6x+7)=8x-17

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Solution for 9x-(6x+7)=8x-17 equation:


Simplifying
9x + -1(6x + 7) = 8x + -17

Reorder the terms:
9x + -1(7 + 6x) = 8x + -17
9x + (7 * -1 + 6x * -1) = 8x + -17
9x + (-7 + -6x) = 8x + -17

Reorder the terms:
-7 + 9x + -6x = 8x + -17

Combine like terms: 9x + -6x = 3x
-7 + 3x = 8x + -17

Reorder the terms:
-7 + 3x = -17 + 8x

Solving
-7 + 3x = -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 + 3x + -8x = -17 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-7 + -5x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -5x = -17 + 0
-7 + -5x = -17

Add '7' to each side of the equation.
-7 + 7 + -5x = -17 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -17 + 7
-5x = -17 + 7

Combine like terms: -17 + 7 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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