9x-2(x+8)=5x-11

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Solution for 9x-2(x+8)=5x-11 equation:


Simplifying
9x + -2(x + 8) = 5x + -11

Reorder the terms:
9x + -2(8 + x) = 5x + -11
9x + (8 * -2 + x * -2) = 5x + -11
9x + (-16 + -2x) = 5x + -11

Reorder the terms:
-16 + 9x + -2x = 5x + -11

Combine like terms: 9x + -2x = 7x
-16 + 7x = 5x + -11

Reorder the terms:
-16 + 7x = -11 + 5x

Solving
-16 + 7x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 7x + -5x = -11 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-16 + 2x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 2x = -11 + 0
-16 + 2x = -11

Add '16' to each side of the equation.
-16 + 16 + 2x = -11 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -11 + 16
2x = -11 + 16

Combine like terms: -11 + 16 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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