2x-11=5(x+8)

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


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

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

Reorder the terms:
-11 + 2x = 5(8 + x)
-11 + 2x = (8 * 5 + x * 5)
-11 + 2x = (40 + 5x)

Solving
-11 + 2x = 40 + 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.
-11 + 2x + -5x = 40 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-11 + -3x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + -3x = 40 + 0
-11 + -3x = 40

Add '11' to each side of the equation.
-11 + 11 + -3x = 40 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 40 + 11
-3x = 40 + 11

Combine like terms: 40 + 11 = 51
-3x = 51

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

Simplifying
x = -17

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