11x-(x-2)=9(x+1)+3

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Solution for 11x-(x-2)=9(x+1)+3 equation: 


Simplifying
11x + -1(x + -2) = 9(x + 1) + 3

Reorder the terms:
11x + -1(-2 + x) = 9(x + 1) + 3
11x + (-2 * -1 + x * -1) = 9(x + 1) + 3
11x + (2 + -1x) = 9(x + 1) + 3

Reorder the terms:
2 + 11x + -1x = 9(x + 1) + 3

Combine like terms: 11x + -1x = 10x
2 + 10x = 9(x + 1) + 3

Reorder the terms:
2 + 10x = 9(1 + x) + 3
2 + 10x = (1 * 9 + x * 9) + 3
2 + 10x = (9 + 9x) + 3

Reorder the terms:
2 + 10x = 9 + 3 + 9x

Combine like terms: 9 + 3 = 12
2 + 10x = 12 + 9x

Solving
2 + 10x = 12 + 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.
2 + 10x + -9x = 12 + 9x + -9x

Combine like terms: 10x + -9x = 1x
2 + 1x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + 1x = 12 + 0
2 + 1x = 12

Add '-2' to each side of the equation.
2 + -2 + 1x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 12 + -2
1x = 12 + -2

Combine like terms: 12 + -2 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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