x-(9-3x)=8x-17

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Solution for x-(9-3x)=8x-17 equation:


Simplifying
x + -1(9 + -3x) = 8x + -17
x + (9 * -1 + -3x * -1) = 8x + -17
x + (-9 + 3x) = 8x + -17

Reorder the terms:
-9 + x + 3x = 8x + -17

Combine like terms: x + 3x = 4x
-9 + 4x = 8x + -17

Reorder the terms:
-9 + 4x = -17 + 8x

Solving
-9 + 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.
-9 + 4x + -8x = -17 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-9 + -4x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -4x = -17 + 0
-9 + -4x = -17

Add '9' to each side of the equation.
-9 + 9 + -4x = -17 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -17 + 9
-4x = -17 + 9

Combine like terms: -17 + 9 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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