10-2(x+2)=2(x+3)-4x

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Solution for 10-2(x+2)=2(x+3)-4x equation:


Simplifying
10 + -2(x + 2) = 2(x + 3) + -4x

Reorder the terms:
10 + -2(2 + x) = 2(x + 3) + -4x
10 + (2 * -2 + x * -2) = 2(x + 3) + -4x
10 + (-4 + -2x) = 2(x + 3) + -4x

Combine like terms: 10 + -4 = 6
6 + -2x = 2(x + 3) + -4x

Reorder the terms:
6 + -2x = 2(3 + x) + -4x
6 + -2x = (3 * 2 + x * 2) + -4x
6 + -2x = (6 + 2x) + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = 6 + -2x

Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -2x
-2x = 6 + -6 + -2x

Combine like terms: 6 + -6 = 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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