9(x-2)-11=16x-64

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Solution for 9(x-2)-11=16x-64 equation:


Simplifying
9(x + -2) + -11 = 16x + -64

Reorder the terms:
9(-2 + x) + -11 = 16x + -64
(-2 * 9 + x * 9) + -11 = 16x + -64
(-18 + 9x) + -11 = 16x + -64

Reorder the terms:
-18 + -11 + 9x = 16x + -64

Combine like terms: -18 + -11 = -29
-29 + 9x = 16x + -64

Reorder the terms:
-29 + 9x = -64 + 16x

Solving
-29 + 9x = -64 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-29 + 9x + -16x = -64 + 16x + -16x

Combine like terms: 9x + -16x = -7x
-29 + -7x = -64 + 16x + -16x

Combine like terms: 16x + -16x = 0
-29 + -7x = -64 + 0
-29 + -7x = -64

Add '29' to each side of the equation.
-29 + 29 + -7x = -64 + 29

Combine like terms: -29 + 29 = 0
0 + -7x = -64 + 29
-7x = -64 + 29

Combine like terms: -64 + 29 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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