8(x+10)-3(2x+9)=2(x+31.5)

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Solution for 8(x+10)-3(2x+9)=2(x+31.5) equation:


Simplifying
8(x + 10) + -3(2x + 9) = 2(x + 31.5)

Reorder the terms:
8(10 + x) + -3(2x + 9) = 2(x + 31.5)
(10 * 8 + x * 8) + -3(2x + 9) = 2(x + 31.5)
(80 + 8x) + -3(2x + 9) = 2(x + 31.5)

Reorder the terms:
80 + 8x + -3(9 + 2x) = 2(x + 31.5)
80 + 8x + (9 * -3 + 2x * -3) = 2(x + 31.5)
80 + 8x + (-27 + -6x) = 2(x + 31.5)

Reorder the terms:
80 + -27 + 8x + -6x = 2(x + 31.5)

Combine like terms: 80 + -27 = 53
53 + 8x + -6x = 2(x + 31.5)

Combine like terms: 8x + -6x = 2x
53 + 2x = 2(x + 31.5)

Reorder the terms:
53 + 2x = 2(31.5 + x)
53 + 2x = (31.5 * 2 + x * 2)
53 + 2x = (63 + 2x)

Add '-2x' to each side of the equation.
53 + 2x + -2x = 63 + 2x + -2x

Combine like terms: 2x + -2x = 0
53 + 0 = 63 + 2x + -2x
53 = 63 + 2x + -2x

Combine like terms: 2x + -2x = 0
53 = 63 + 0
53 = 63

Solving
53 = 63

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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