3x-4(4-5x)=-8-2(4-10x)+3x

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Solution for 3x-4(4-5x)=-8-2(4-10x)+3x equation:


Simplifying
3x + -4(4 + -5x) = -8 + -2(4 + -10x) + 3x
3x + (4 * -4 + -5x * -4) = -8 + -2(4 + -10x) + 3x
3x + (-16 + 20x) = -8 + -2(4 + -10x) + 3x

Reorder the terms:
-16 + 3x + 20x = -8 + -2(4 + -10x) + 3x

Combine like terms: 3x + 20x = 23x
-16 + 23x = -8 + -2(4 + -10x) + 3x
-16 + 23x = -8 + (4 * -2 + -10x * -2) + 3x
-16 + 23x = -8 + (-8 + 20x) + 3x

Combine like terms: -8 + -8 = -16
-16 + 23x = -16 + 20x + 3x

Combine like terms: 20x + 3x = 23x
-16 + 23x = -16 + 23x

Add '16' to each side of the equation.
-16 + 16 + 23x = -16 + 16 + 23x

Combine like terms: -16 + 16 = 0
0 + 23x = -16 + 16 + 23x
23x = -16 + 16 + 23x

Combine like terms: -16 + 16 = 0
23x = 0 + 23x
23x = 23x

Add '-23x' to each side of the equation.
23x + -23x = 23x + -23x

Combine like terms: 23x + -23x = 0
0 = 23x + -23x

Combine like terms: 23x + -23x = 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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