10(x+2)-4(2x+1)=2(x+6)

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Solution for 10(x+2)-4(2x+1)=2(x+6) equation: 


Simplifying
10(x + 2) + -4(2x + 1) = 2(x + 6)

Reorder the terms:
10(2 + x) + -4(2x + 1) = 2(x + 6)
(2 * 10 + x * 10) + -4(2x + 1) = 2(x + 6)
(20 + 10x) + -4(2x + 1) = 2(x + 6)

Reorder the terms:
20 + 10x + -4(1 + 2x) = 2(x + 6)
20 + 10x + (1 * -4 + 2x * -4) = 2(x + 6)
20 + 10x + (-4 + -8x) = 2(x + 6)

Reorder the terms:
20 + -4 + 10x + -8x = 2(x + 6)

Combine like terms: 20 + -4 = 16
16 + 10x + -8x = 2(x + 6)

Combine like terms: 10x + -8x = 2x
16 + 2x = 2(x + 6)

Reorder the terms:
16 + 2x = 2(6 + x)
16 + 2x = (6 * 2 + x * 2)
16 + 2x = (12 + 2x)

Add '-2x' to each side of the equation.
16 + 2x + -2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 0 = 12 + 2x + -2x
16 = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 = 12 + 0
16 = 12

Solving
16 = 12

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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