8(x+6)-3(2x+9)=2(x+13.5)

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Solution for 8(x+6)-3(2x+9)=2(x+13.5) equation:


Simplifying
8(x + 6) + -3(2x + 9) = 2(x + 13.5)

Reorder the terms:
8(6 + x) + -3(2x + 9) = 2(x + 13.5)
(6 * 8 + x * 8) + -3(2x + 9) = 2(x + 13.5)
(48 + 8x) + -3(2x + 9) = 2(x + 13.5)

Reorder the terms:
48 + 8x + -3(9 + 2x) = 2(x + 13.5)
48 + 8x + (9 * -3 + 2x * -3) = 2(x + 13.5)
48 + 8x + (-27 + -6x) = 2(x + 13.5)

Reorder the terms:
48 + -27 + 8x + -6x = 2(x + 13.5)

Combine like terms: 48 + -27 = 21
21 + 8x + -6x = 2(x + 13.5)

Combine like terms: 8x + -6x = 2x
21 + 2x = 2(x + 13.5)

Reorder the terms:
21 + 2x = 2(13.5 + x)
21 + 2x = (13.5 * 2 + x * 2)
21 + 2x = (27 + 2x)

Add '-2x' to each side of the equation.
21 + 2x + -2x = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 0 = 27 + 2x + -2x
21 = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 = 27 + 0
21 = 27

Solving
21 = 27

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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