41-2(x+3)=5(7-x)+3x

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Solution for 41-2(x+3)=5(7-x)+3x equation:


Simplifying
41 + -2(x + 3) = 5(7 + -1x) + 3x

Reorder the terms:
41 + -2(3 + x) = 5(7 + -1x) + 3x
41 + (3 * -2 + x * -2) = 5(7 + -1x) + 3x
41 + (-6 + -2x) = 5(7 + -1x) + 3x

Combine like terms: 41 + -6 = 35
35 + -2x = 5(7 + -1x) + 3x
35 + -2x = (7 * 5 + -1x * 5) + 3x
35 + -2x = (35 + -5x) + 3x

Combine like terms: -5x + 3x = -2x
35 + -2x = 35 + -2x

Add '-35' to each side of the equation.
35 + -35 + -2x = 35 + -35 + -2x

Combine like terms: 35 + -35 = 0
0 + -2x = 35 + -35 + -2x
-2x = 35 + -35 + -2x

Combine like terms: 35 + -35 = 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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