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

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Solution for 0.4(2x+0.5)=3(0.2x+(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 = 2
0.2 + 0.8x = 2 + 0.6x

Solving
0.2 + 0.8x = 2 + 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 = 2 + 0.6x + -0.6x

Combine like terms: 0.8x + -0.6x = 0.2x
0.2 + 0.2x = 2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.2 + 0.2x = 2 + 0.0
0.2 + 0.2x = 2

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.2x = 2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2x = 2 + -0.2
0.2x = 2 + -0.2

Combine like terms: 2 + -0.2 = 1.8
0.2x = 1.8

Divide each side by '0.2'.
x = 9

Simplifying
x = 9

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