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

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Solution for 0.4(2x+0.5)=3(0.2+2)-4 equation: 


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

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

Combine like terms: 0.2 + 2 = 2.2
0.2 + 0.8x = 3(2.2) + -4

Multiply 3 * 2.2
0.2 + 0.8x = 6.6 + -4

Combine like terms: 6.6 + -4 = 2.6
0.2 + 0.8x = 2.6

Solving
0.2 + 0.8x = 2.6

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.8x = 2.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8x = 2.6 + -0.2
0.8x = 2.6 + -0.2

Combine like terms: 2.6 + -0.2 = 2.4
0.8x = 2.4

Divide each side by '0.8'.
x = 3

Simplifying
x = 3

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