-0.3(6-9x)+4x=-(2x-8)

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Solution for -0.3(6-9x)+4x=-(2x-8) equation:


Simplifying
-0.3(6 + -9x) + 4x = -1(2x + -8)
(6 * -0.3 + -9x * -0.3) + 4x = -1(2x + -8)
(-1.8 + 2.7x) + 4x = -1(2x + -8)

Combine like terms: 2.7x + 4x = 6.7x
-1.8 + 6.7x = -1(2x + -8)

Reorder the terms:
-1.8 + 6.7x = -1(-8 + 2x)
-1.8 + 6.7x = (-8 * -1 + 2x * -1)
-1.8 + 6.7x = (8 + -2x)

Solving
-1.8 + 6.7x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1.8 + 6.7x + 2x = 8 + -2x + 2x

Combine like terms: 6.7x + 2x = 8.7x
-1.8 + 8.7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1.8 + 8.7x = 8 + 0
-1.8 + 8.7x = 8

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 8.7x = 8 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 8.7x = 8 + 1.8
8.7x = 8 + 1.8

Combine like terms: 8 + 1.8 = 9.8
8.7x = 9.8

Divide each side by '8.7'.
x = 1.126436782

Simplifying
x = 1.126436782

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