2(4+5x)=9(x-2)

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Solution for 2(4+5x)=9(x-2) equation:


Simplifying
2(4 + 5x) = 9(x + -2)
(4 * 2 + 5x * 2) = 9(x + -2)
(8 + 10x) = 9(x + -2)

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

Solving
8 + 10x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 10x + -9x = -18 + 9x + -9x

Combine like terms: 10x + -9x = 1x
8 + 1x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + 1x = -18 + 0
8 + 1x = -18

Add '-8' to each side of the equation.
8 + -8 + 1x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -18 + -8
1x = -18 + -8

Combine like terms: -18 + -8 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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