5x-2(3x-9)=5(2x-9)+8x

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Solution for 5x-2(3x-9)=5(2x-9)+8x equation:


Simplifying
5x + -2(3x + -9) = 5(2x + -9) + 8x

Reorder the terms:
5x + -2(-9 + 3x) = 5(2x + -9) + 8x
5x + (-9 * -2 + 3x * -2) = 5(2x + -9) + 8x
5x + (18 + -6x) = 5(2x + -9) + 8x

Reorder the terms:
18 + 5x + -6x = 5(2x + -9) + 8x

Combine like terms: 5x + -6x = -1x
18 + -1x = 5(2x + -9) + 8x

Reorder the terms:
18 + -1x = 5(-9 + 2x) + 8x
18 + -1x = (-9 * 5 + 2x * 5) + 8x
18 + -1x = (-45 + 10x) + 8x

Combine like terms: 10x + 8x = 18x
18 + -1x = -45 + 18x

Solving
18 + -1x = -45 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
18 + -1x + -18x = -45 + 18x + -18x

Combine like terms: -1x + -18x = -19x
18 + -19x = -45 + 18x + -18x

Combine like terms: 18x + -18x = 0
18 + -19x = -45 + 0
18 + -19x = -45

Add '-18' to each side of the equation.
18 + -18 + -19x = -45 + -18

Combine like terms: 18 + -18 = 0
0 + -19x = -45 + -18
-19x = -45 + -18

Combine like terms: -45 + -18 = -63
-19x = -63

Divide each side by '-19'.
x = 3.315789474

Simplifying
x = 3.315789474

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