9[2-3x]-29=8x-[x-23]

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Solution for 9[2-3x]-29=8x-[x-23] equation:


Simplifying
9[2 + -3x] + -29 = 8x + -1[x + -23]
[2 * 9 + -3x * 9] + -29 = 8x + -1[x + -23]
[18 + -27x] + -29 = 8x + -1[x + -23]

Reorder the terms:
18 + -29 + -27x = 8x + -1[x + -23]

Combine like terms: 18 + -29 = -11
-11 + -27x = 8x + -1[x + -23]

Reorder the terms:
-11 + -27x = 8x + -1[-23 + x]
-11 + -27x = 8x + [-23 * -1 + x * -1]
-11 + -27x = 8x + [23 + -1x]

Reorder the terms:
-11 + -27x = 23 + 8x + -1x

Combine like terms: 8x + -1x = 7x
-11 + -27x = 23 + 7x

Solving
-11 + -27x = 23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + -27x + -7x = 23 + 7x + -7x

Combine like terms: -27x + -7x = -34x
-11 + -34x = 23 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -34x = 23 + 0
-11 + -34x = 23

Add '11' to each side of the equation.
-11 + 11 + -34x = 23 + 11

Combine like terms: -11 + 11 = 0
0 + -34x = 23 + 11
-34x = 23 + 11

Combine like terms: 23 + 11 = 34
-34x = 34

Divide each side by '-34'.
x = -1

Simplifying
x = -1

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