8x+31-2(6-5x)=18(4-5x)+27x-28

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Solution for 8x+31-2(6-5x)=18(4-5x)+27x-28 equation:


Simplifying
8x + 31 + -2(6 + -5x) = 18(4 + -5x) + 27x + -28
8x + 31 + (6 * -2 + -5x * -2) = 18(4 + -5x) + 27x + -28
8x + 31 + (-12 + 10x) = 18(4 + -5x) + 27x + -28

Reorder the terms:
31 + -12 + 8x + 10x = 18(4 + -5x) + 27x + -28

Combine like terms: 31 + -12 = 19
19 + 8x + 10x = 18(4 + -5x) + 27x + -28

Combine like terms: 8x + 10x = 18x
19 + 18x = 18(4 + -5x) + 27x + -28
19 + 18x = (4 * 18 + -5x * 18) + 27x + -28
19 + 18x = (72 + -90x) + 27x + -28

Reorder the terms:
19 + 18x = 72 + -28 + -90x + 27x

Combine like terms: 72 + -28 = 44
19 + 18x = 44 + -90x + 27x

Combine like terms: -90x + 27x = -63x
19 + 18x = 44 + -63x

Solving
19 + 18x = 44 + -63x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '63x' to each side of the equation.
19 + 18x + 63x = 44 + -63x + 63x

Combine like terms: 18x + 63x = 81x
19 + 81x = 44 + -63x + 63x

Combine like terms: -63x + 63x = 0
19 + 81x = 44 + 0
19 + 81x = 44

Add '-19' to each side of the equation.
19 + -19 + 81x = 44 + -19

Combine like terms: 19 + -19 = 0
0 + 81x = 44 + -19
81x = 44 + -19

Combine like terms: 44 + -19 = 25
81x = 25

Divide each side by '81'.
x = 0.3086419753

Simplifying
x = 0.3086419753

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