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

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


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

Reorder the terms:
2(1 + 2x) + -11 = 2x + -5
(1 * 2 + 2x * 2) + -11 = 2x + -5
(2 + 4x) + -11 = 2x + -5

Reorder the terms:
2 + -11 + 4x = 2x + -5

Combine like terms: 2 + -11 = -9
-9 + 4x = 2x + -5

Reorder the terms:
-9 + 4x = -5 + 2x

Solving
-9 + 4x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-9 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 2x = -5 + 0
-9 + 2x = -5

Add '9' to each side of the equation.
-9 + 9 + 2x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -5 + 9
2x = -5 + 9

Combine like terms: -5 + 9 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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