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

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


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

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

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

Combine like terms: -2 + 1 = -1
-1 + 2x + x = 5(2x + 1) + -1x

Combine like terms: 2x + x = 3x
-1 + 3x = 5(2x + 1) + -1x

Reorder the terms:
-1 + 3x = 5(1 + 2x) + -1x
-1 + 3x = (1 * 5 + 2x * 5) + -1x
-1 + 3x = (5 + 10x) + -1x

Combine like terms: 10x + -1x = 9x
-1 + 3x = 5 + 9x

Solving
-1 + 3x = 5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 3x + -9x = 5 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-1 + -6x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -6x = 5 + 0
-1 + -6x = 5

Add '1' to each side of the equation.
-1 + 1 + -6x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 5 + 1
-6x = 5 + 1

Combine like terms: 5 + 1 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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