3(x+2)-4(2-x)=-2+7x

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Solution for 3(x+2)-4(2-x)=-2+7x equation: 


Simplifying
3(x + 2) + -4(2 + -1x) = -2 + 7x

Reorder the terms:
3(2 + x) + -4(2 + -1x) = -2 + 7x
(2 * 3 + x * 3) + -4(2 + -1x) = -2 + 7x
(6 + 3x) + -4(2 + -1x) = -2 + 7x
6 + 3x + (2 * -4 + -1x * -4) = -2 + 7x
6 + 3x + (-8 + 4x) = -2 + 7x

Reorder the terms:
6 + -8 + 3x + 4x = -2 + 7x

Combine like terms: 6 + -8 = -2
-2 + 3x + 4x = -2 + 7x

Combine like terms: 3x + 4x = 7x
-2 + 7x = -2 + 7x

Add '2' to each side of the equation.
-2 + 2 + 7x = -2 + 2 + 7x

Combine like terms: -2 + 2 = 0
0 + 7x = -2 + 2 + 7x
7x = -2 + 2 + 7x

Combine like terms: -2 + 2 = 0
7x = 0 + 7x
7x = 7x

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

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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