-2(0.5x-3)=(9x-2)

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Solution for -2(0.5x-3)=(9x-2) equation:


Simplifying
-2(0.5x + -3) = (9x + -2)

Reorder the terms:
-2(-3 + 0.5x) = (9x + -2)
(-3 * -2 + 0.5x * -2) = (9x + -2)
(6 + -1x) = (9x + -2)

Reorder the terms:
6 + -1x = (-2 + 9x)

Remove parenthesis around (-2 + 9x)
6 + -1x = -2 + 9x

Solving
6 + -1x = -2 + 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.
6 + -1x + -9x = -2 + 9x + -9x

Combine like terms: -1x + -9x = -10x
6 + -10x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -10x = -2 + 0
6 + -10x = -2

Add '-6' to each side of the equation.
6 + -6 + -10x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -2 + -6
-10x = -2 + -6

Combine like terms: -2 + -6 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8

Simplifying
x = 0.8

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