5(x-2)+x=6(x+3)-4

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Solution for 5(x-2)+x=6(x+3)-4 equation:


Simplifying
5(x + -2) + x = 6(x + 3) + -4

Reorder the terms:
5(-2 + x) + x = 6(x + 3) + -4
(-2 * 5 + x * 5) + x = 6(x + 3) + -4
(-10 + 5x) + x = 6(x + 3) + -4

Combine like terms: 5x + x = 6x
-10 + 6x = 6(x + 3) + -4

Reorder the terms:
-10 + 6x = 6(3 + x) + -4
-10 + 6x = (3 * 6 + x * 6) + -4
-10 + 6x = (18 + 6x) + -4

Reorder the terms:
-10 + 6x = 18 + -4 + 6x

Combine like terms: 18 + -4 = 14
-10 + 6x = 14 + 6x

Add '-6x' to each side of the equation.
-10 + 6x + -6x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + 0 = 14 + 6x + -6x
-10 = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 = 14 + 0
-10 = 14

Solving
-10 = 14

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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