x-32=9(2x+3)-8

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Solution for x-32=9(2x+3)-8 equation:


Simplifying
x + -32 = 9(2x + 3) + -8

Reorder the terms:
-32 + x = 9(2x + 3) + -8

Reorder the terms:
-32 + x = 9(3 + 2x) + -8
-32 + x = (3 * 9 + 2x * 9) + -8
-32 + x = (27 + 18x) + -8

Reorder the terms:
-32 + x = 27 + -8 + 18x

Combine like terms: 27 + -8 = 19
-32 + x = 19 + 18x

Solving
-32 + x = 19 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-32 + x + -18x = 19 + 18x + -18x

Combine like terms: x + -18x = -17x
-32 + -17x = 19 + 18x + -18x

Combine like terms: 18x + -18x = 0
-32 + -17x = 19 + 0
-32 + -17x = 19

Add '32' to each side of the equation.
-32 + 32 + -17x = 19 + 32

Combine like terms: -32 + 32 = 0
0 + -17x = 19 + 32
-17x = 19 + 32

Combine like terms: 19 + 32 = 51
-17x = 51

Divide each side by '-17'.
x = -3

Simplifying
x = -3

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