9(x-3)+16=8x-2

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Solution for 9(x-3)+16=8x-2 equation:


Simplifying
9(x + -3) + 16 = 8x + -2

Reorder the terms:
9(-3 + x) + 16 = 8x + -2
(-3 * 9 + x * 9) + 16 = 8x + -2
(-27 + 9x) + 16 = 8x + -2

Reorder the terms:
-27 + 16 + 9x = 8x + -2

Combine like terms: -27 + 16 = -11
-11 + 9x = 8x + -2

Reorder the terms:
-11 + 9x = -2 + 8x

Solving
-11 + 9x = -2 + 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.
-11 + 9x + -8x = -2 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-11 + 1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + 1x = -2 + 0
-11 + 1x = -2

Add '11' to each side of the equation.
-11 + 11 + 1x = -2 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = -2 + 11
1x = -2 + 11

Combine like terms: -2 + 11 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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