7x+11=5(x-2)+x-1

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Solution for 7x+11=5(x-2)+x-1 equation: 


Simplifying
7x + 11 = 5(x + -2) + x + -1

Reorder the terms:
11 + 7x = 5(x + -2) + x + -1

Reorder the terms:
11 + 7x = 5(-2 + x) + x + -1
11 + 7x = (-2 * 5 + x * 5) + x + -1
11 + 7x = (-10 + 5x) + x + -1

Reorder the terms:
11 + 7x = -10 + -1 + 5x + x

Combine like terms: -10 + -1 = -11
11 + 7x = -11 + 5x + x

Combine like terms: 5x + x = 6x
11 + 7x = -11 + 6x

Solving
11 + 7x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 7x + -6x = -11 + 6x + -6x

Combine like terms: 7x + -6x = 1x
11 + 1x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 1x = -11 + 0
11 + 1x = -11

Add '-11' to each side of the equation.
11 + -11 + 1x = -11 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = -11 + -11
1x = -11 + -11

Combine like terms: -11 + -11 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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