2(5x-11)=2(x+1)+15-6

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Solution for 2(5x-11)=2(x+1)+15-6 equation: 


Simplifying
2(5x + -11) = 2(x + 1) + 15 + -6

Reorder the terms:
2(-11 + 5x) = 2(x + 1) + 15 + -6
(-11 * 2 + 5x * 2) = 2(x + 1) + 15 + -6
(-22 + 10x) = 2(x + 1) + 15 + -6

Reorder the terms:
-22 + 10x = 2(1 + x) + 15 + -6
-22 + 10x = (1 * 2 + x * 2) + 15 + -6
-22 + 10x = (2 + 2x) + 15 + -6

Reorder the terms:
-22 + 10x = 2 + 15 + -6 + 2x

Combine like terms: 2 + 15 = 17
-22 + 10x = 17 + -6 + 2x

Combine like terms: 17 + -6 = 11
-22 + 10x = 11 + 2x

Solving
-22 + 10x = 11 + 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.
-22 + 10x + -2x = 11 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-22 + 8x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 8x = 11 + 0
-22 + 8x = 11

Add '22' to each side of the equation.
-22 + 22 + 8x = 11 + 22

Combine like terms: -22 + 22 = 0
0 + 8x = 11 + 22
8x = 11 + 22

Combine like terms: 11 + 22 = 33
8x = 33

Divide each side by '8'.
x = 4.125

Simplifying
x = 4.125

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