11(2x-1)=8(2x+1)+11

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Solution for 11(2x-1)=8(2x+1)+11 equation:


Simplifying
11(2x + -1) = 8(2x + 1) + 11

Reorder the terms:
11(-1 + 2x) = 8(2x + 1) + 11
(-1 * 11 + 2x * 11) = 8(2x + 1) + 11
(-11 + 22x) = 8(2x + 1) + 11

Reorder the terms:
-11 + 22x = 8(1 + 2x) + 11
-11 + 22x = (1 * 8 + 2x * 8) + 11
-11 + 22x = (8 + 16x) + 11

Reorder the terms:
-11 + 22x = 8 + 11 + 16x

Combine like terms: 8 + 11 = 19
-11 + 22x = 19 + 16x

Solving
-11 + 22x = 19 + 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.
-11 + 22x + -16x = 19 + 16x + -16x

Combine like terms: 22x + -16x = 6x
-11 + 6x = 19 + 16x + -16x

Combine like terms: 16x + -16x = 0
-11 + 6x = 19 + 0
-11 + 6x = 19

Add '11' to each side of the equation.
-11 + 11 + 6x = 19 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 19 + 11
6x = 19 + 11

Combine like terms: 19 + 11 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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