2(5x+1)-11=x+9

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Solution for 2(5x+1)-11=x+9 equation:


Simplifying
2(5x + 1) + -11 = x + 9

Reorder the terms:
2(1 + 5x) + -11 = x + 9
(1 * 2 + 5x * 2) + -11 = x + 9
(2 + 10x) + -11 = x + 9

Reorder the terms:
2 + -11 + 10x = x + 9

Combine like terms: 2 + -11 = -9
-9 + 10x = x + 9

Reorder the terms:
-9 + 10x = 9 + x

Solving
-9 + 10x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 10x + -1x = 9 + x + -1x

Combine like terms: 10x + -1x = 9x
-9 + 9x = 9 + x + -1x

Combine like terms: x + -1x = 0
-9 + 9x = 9 + 0
-9 + 9x = 9

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

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

Combine like terms: 9 + 9 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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