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

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


Simplifying
2(10 + -8x) = -9(2x + -3)
(10 * 2 + -8x * 2) = -9(2x + -3)
(20 + -16x) = -9(2x + -3)

Reorder the terms:
20 + -16x = -9(-3 + 2x)
20 + -16x = (-3 * -9 + 2x * -9)
20 + -16x = (27 + -18x)

Solving
20 + -16x = 27 + -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.
20 + -16x + 18x = 27 + -18x + 18x

Combine like terms: -16x + 18x = 2x
20 + 2x = 27 + -18x + 18x

Combine like terms: -18x + 18x = 0
20 + 2x = 27 + 0
20 + 2x = 27

Add '-20' to each side of the equation.
20 + -20 + 2x = 27 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 27 + -20
2x = 27 + -20

Combine like terms: 27 + -20 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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