3(x-5)=5(4+x)+2(1-x)

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Solution for 3(x-5)=5(4+x)+2(1-x) equation:


Simplifying
3(x + -5) = 5(4 + x) + 2(1 + -1x)

Reorder the terms:
3(-5 + x) = 5(4 + x) + 2(1 + -1x)
(-5 * 3 + x * 3) = 5(4 + x) + 2(1 + -1x)
(-15 + 3x) = 5(4 + x) + 2(1 + -1x)
-15 + 3x = (4 * 5 + x * 5) + 2(1 + -1x)
-15 + 3x = (20 + 5x) + 2(1 + -1x)
-15 + 3x = 20 + 5x + (1 * 2 + -1x * 2)
-15 + 3x = 20 + 5x + (2 + -2x)

Reorder the terms:
-15 + 3x = 20 + 2 + 5x + -2x

Combine like terms: 20 + 2 = 22
-15 + 3x = 22 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = 22 + 3x

Add '-3x' to each side of the equation.
-15 + 3x + -3x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 0 = 22 + 3x + -3x
-15 = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 = 22 + 0
-15 = 22

Solving
-15 = 22

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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