3(x+6)-1(x-4)=2(x+5)-1

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Solution for 3(x+6)-1(x-4)=2(x+5)-1 equation:


Simplifying
3(x + 6) + -1(x + -4) = 2(x + 5) + -1

Reorder the terms:
3(6 + x) + -1(x + -4) = 2(x + 5) + -1
(6 * 3 + x * 3) + -1(x + -4) = 2(x + 5) + -1
(18 + 3x) + -1(x + -4) = 2(x + 5) + -1

Reorder the terms:
18 + 3x + -1(-4 + x) = 2(x + 5) + -1
18 + 3x + (-4 * -1 + x * -1) = 2(x + 5) + -1
18 + 3x + (4 + -1x) = 2(x + 5) + -1

Reorder the terms:
18 + 4 + 3x + -1x = 2(x + 5) + -1

Combine like terms: 18 + 4 = 22
22 + 3x + -1x = 2(x + 5) + -1

Combine like terms: 3x + -1x = 2x
22 + 2x = 2(x + 5) + -1

Reorder the terms:
22 + 2x = 2(5 + x) + -1
22 + 2x = (5 * 2 + x * 2) + -1
22 + 2x = (10 + 2x) + -1

Reorder the terms:
22 + 2x = 10 + -1 + 2x

Combine like terms: 10 + -1 = 9
22 + 2x = 9 + 2x

Add '-2x' to each side of the equation.
22 + 2x + -2x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 0 = 9 + 2x + -2x
22 = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 = 9 + 0
22 = 9

Solving
22 = 9

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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