9(2-3x)-29=8x-1(x-23)

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Solution for 9(2-3x)-29=8x-1(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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