5(x-4)+3x=-4(x+5)+12x

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Solution for 5(x-4)+3x=-4(x+5)+12x equation:


Simplifying
5(x + -4) + 3x = -4(x + 5) + 12x

Reorder the terms:
5(-4 + x) + 3x = -4(x + 5) + 12x
(-4 * 5 + x * 5) + 3x = -4(x + 5) + 12x
(-20 + 5x) + 3x = -4(x + 5) + 12x

Combine like terms: 5x + 3x = 8x
-20 + 8x = -4(x + 5) + 12x

Reorder the terms:
-20 + 8x = -4(5 + x) + 12x
-20 + 8x = (5 * -4 + x * -4) + 12x
-20 + 8x = (-20 + -4x) + 12x

Combine like terms: -4x + 12x = 8x
-20 + 8x = -20 + 8x

Add '20' to each side of the equation.
-20 + 20 + 8x = -20 + 20 + 8x

Combine like terms: -20 + 20 = 0
0 + 8x = -20 + 20 + 8x
8x = -20 + 20 + 8x

Combine like terms: -20 + 20 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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