4(x-2)-2(x+1)=(x+1)+(x-11)

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Solution for 4(x-2)-2(x+1)=(x+1)+(x-11) equation:


Simplifying
4(x + -2) + -2(x + 1) = (x + 1) + (x + -11)

Reorder the terms:
4(-2 + x) + -2(x + 1) = (x + 1) + (x + -11)
(-2 * 4 + x * 4) + -2(x + 1) = (x + 1) + (x + -11)
(-8 + 4x) + -2(x + 1) = (x + 1) + (x + -11)

Reorder the terms:
-8 + 4x + -2(1 + x) = (x + 1) + (x + -11)
-8 + 4x + (1 * -2 + x * -2) = (x + 1) + (x + -11)
-8 + 4x + (-2 + -2x) = (x + 1) + (x + -11)

Reorder the terms:
-8 + -2 + 4x + -2x = (x + 1) + (x + -11)

Combine like terms: -8 + -2 = -10
-10 + 4x + -2x = (x + 1) + (x + -11)

Combine like terms: 4x + -2x = 2x
-10 + 2x = (x + 1) + (x + -11)

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

Remove parenthesis around (1 + x)
-10 + 2x = 1 + x + (x + -11)

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

Remove parenthesis around (-11 + x)
-10 + 2x = 1 + x + -11 + x

Reorder the terms:
-10 + 2x = 1 + -11 + x + x

Combine like terms: 1 + -11 = -10
-10 + 2x = -10 + x + x

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

Add '10' to each side of the equation.
-10 + 10 + 2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 0
0 + 2x = -10 + 10 + 2x
2x = -10 + 10 + 2x

Combine like terms: -10 + 10 = 0
2x = 0 + 2x
2x = 2x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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