2x-11=5(2x+1)

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Solution for 2x-11=5(2x+1) equation:


Simplifying
2x + -11 = 5(2x + 1)

Reorder the terms:
-11 + 2x = 5(2x + 1)

Reorder the terms:
-11 + 2x = 5(1 + 2x)
-11 + 2x = (1 * 5 + 2x * 5)
-11 + 2x = (5 + 10x)

Solving
-11 + 2x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-11 + 2x + -10x = 5 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-11 + -8x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-11 + -8x = 5 + 0
-11 + -8x = 5

Add '11' to each side of the equation.
-11 + 11 + -8x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = 5 + 11
-8x = 5 + 11

Combine like terms: 5 + 11 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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