.2(3x+.25)=4[0.2x+(-4)]-10

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Solution for .2(3x+.25)=4[0.2x+(-4)]-10 equation: 


Simplifying
0.2(3x + 0.25) = 4[0.2x + (-4)] + -10

Reorder the terms:
0.2(0.25 + 3x) = 4[0.2x + (-4)] + -10
(0.25 * 0.2 + 3x * 0.2) = 4[0.2x + (-4)] + -10
(0.05 + 0.6x) = 4[0.2x + (-4)] + -10
0.05 + 0.6x = 4[0.2x + -4] + -10

Reorder the terms:
0.05 + 0.6x = 4[-4 + 0.2x] + -10
0.05 + 0.6x = [-4 * 4 + 0.2x * 4] + -10
0.05 + 0.6x = [-16 + 0.8x] + -10

Reorder the terms:
0.05 + 0.6x = -16 + -10 + 0.8x

Combine like terms: -16 + -10 = -26
0.05 + 0.6x = -26 + 0.8x

Solving
0.05 + 0.6x = -26 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
0.05 + 0.6x + -0.8x = -26 + 0.8x + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
0.05 + -0.2x = -26 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.05 + -0.2x = -26 + 0.0
0.05 + -0.2x = -26

Add '-0.05' to each side of the equation.
0.05 + -0.05 + -0.2x = -26 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + -0.2x = -26 + -0.05
-0.2x = -26 + -0.05

Combine like terms: -26 + -0.05 = -26.05
-0.2x = -26.05

Divide each side by '-0.2'.
x = 130.25

Simplifying
x = 130.25

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