0.4(2x+.5)=3(.2x+(-2))-4

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Solution for 0.4(2x+.5)=3(.2x+(-2))-4 equation: 


Simplifying
0.4(2x + 0.5) = 3(0.2x + (-2)) + -4

Reorder the terms:
0.4(0.5 + 2x) = 3(0.2x + (-2)) + -4
(0.5 * 0.4 + 2x * 0.4) = 3(0.2x + (-2)) + -4
(0.2 + 0.8x) = 3(0.2x + (-2)) + -4
0.2 + 0.8x = 3(0.2x + -2) + -4

Reorder the terms:
0.2 + 0.8x = 3(-2 + 0.2x) + -4
0.2 + 0.8x = (-2 * 3 + 0.2x * 3) + -4
0.2 + 0.8x = (-6 + 0.6x) + -4

Reorder the terms:
0.2 + 0.8x = -6 + -4 + 0.6x

Combine like terms: -6 + -4 = -10
0.2 + 0.8x = -10 + 0.6x

Solving
0.2 + 0.8x = -10 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.2 + 0.8x + -0.6x = -10 + 0.6x + -0.6x

Combine like terms: 0.8x + -0.6x = 0.2x
0.2 + 0.2x = -10 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.2 + 0.2x = -10 + 0.0
0.2 + 0.2x = -10

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.2x = -10 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2x = -10 + -0.2
0.2x = -10 + -0.2

Combine like terms: -10 + -0.2 = -10.2
0.2x = -10.2

Divide each side by '0.2'.
x = -51

Simplifying
x = -51

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