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

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


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

Reorder the terms:
4(-2 + x) + 2(5 + x) = 5(x + 3) + x
(-2 * 4 + x * 4) + 2(5 + x) = 5(x + 3) + x
(-8 + 4x) + 2(5 + x) = 5(x + 3) + x
-8 + 4x + (5 * 2 + x * 2) = 5(x + 3) + x
-8 + 4x + (10 + 2x) = 5(x + 3) + x

Reorder the terms:
-8 + 10 + 4x + 2x = 5(x + 3) + x

Combine like terms: -8 + 10 = 2
2 + 4x + 2x = 5(x + 3) + x

Combine like terms: 4x + 2x = 6x
2 + 6x = 5(x + 3) + x

Reorder the terms:
2 + 6x = 5(3 + x) + x
2 + 6x = (3 * 5 + x * 5) + x
2 + 6x = (15 + 5x) + x

Combine like terms: 5x + x = 6x
2 + 6x = 15 + 6x

Add '-6x' to each side of the equation.
2 + 6x + -6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 0 = 15 + 6x + -6x
2 = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 = 15 + 0
2 = 15

Solving
2 = 15

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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