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

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


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

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

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

Reorder the terms:
4 + 8x = -2 + 2x + 6(2 + x)
4 + 8x = -2 + 2x + (2 * 6 + x * 6)
4 + 8x = -2 + 2x + (12 + 6x)

Reorder the terms:
4 + 8x = -2 + 12 + 2x + 6x

Combine like terms: -2 + 12 = 10
4 + 8x = 10 + 2x + 6x

Combine like terms: 2x + 6x = 8x
4 + 8x = 10 + 8x

Add '-8x' to each side of the equation.
4 + 8x + -8x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + 0 = 10 + 8x + -8x
4 = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 = 10 + 0
4 = 10

Solving
4 = 10

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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