(1+3x)-(1-2x)+(-11-7x)=5

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Solution for (1+3x)-(1-2x)+(-11-7x)=5 equation: 


Simplifying
(1 + 3x) + -1(1 + -2x) + (-11 + -7x) = 5

Remove parenthesis around (1 + 3x)
1 + 3x + -1(1 + -2x) + (-11 + -7x) = 5
1 + 3x + (1 * -1 + -2x * -1) + (-11 + -7x) = 5
1 + 3x + (-1 + 2x) + (-11 + -7x) = 5

Remove parenthesis around (-11 + -7x)
1 + 3x + -1 + 2x + -11 + -7x = 5

Reorder the terms:
1 + -1 + -11 + 3x + 2x + -7x = 5

Combine like terms: 1 + -1 = 0
0 + -11 + 3x + 2x + -7x = 5
-11 + 3x + 2x + -7x = 5

Combine like terms: 3x + 2x = 5x
-11 + 5x + -7x = 5

Combine like terms: 5x + -7x = -2x
-11 + -2x = 5

Solving
-11 + -2x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -2x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 5 + 11
-2x = 5 + 11

Combine like terms: 5 + 11 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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