.3(-x+5)+4=2(3x-4)

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Solution for .3(-x+5)+4=2(3x-4) equation: 


Simplifying
0.3(-1x + 5) + 4 = 2(3x + -4)

Reorder the terms:
0.3(5 + -1x) + 4 = 2(3x + -4)
(5 * 0.3 + -1x * 0.3) + 4 = 2(3x + -4)
(1.5 + -0.3x) + 4 = 2(3x + -4)

Reorder the terms:
1.5 + 4 + -0.3x = 2(3x + -4)

Combine like terms: 1.5 + 4 = 5.5
5.5 + -0.3x = 2(3x + -4)

Reorder the terms:
5.5 + -0.3x = 2(-4 + 3x)
5.5 + -0.3x = (-4 * 2 + 3x * 2)
5.5 + -0.3x = (-8 + 6x)

Solving
5.5 + -0.3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5.5 + -0.3x + -6x = -8 + 6x + -6x

Combine like terms: -0.3x + -6x = -6.3x
5.5 + -6.3x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
5.5 + -6.3x = -8 + 0
5.5 + -6.3x = -8

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -6.3x = -8 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -6.3x = -8 + -5.5
-6.3x = -8 + -5.5

Combine like terms: -8 + -5.5 = -13.5
-6.3x = -13.5

Divide each side by '-6.3'.
x = 2.142857143

Simplifying
x = 2.142857143

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