0.4(3x+8)=0.2(x+5)

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Solution for 0.4(3x+8)=0.2(x+5) equation:


Simplifying
0.4(3x + 8) = 0.2(x + 5)

Reorder the terms:
0.4(8 + 3x) = 0.2(x + 5)
(8 * 0.4 + 3x * 0.4) = 0.2(x + 5)
(3.2 + 1.2x) = 0.2(x + 5)

Reorder the terms:
3.2 + 1.2x = 0.2(5 + x)
3.2 + 1.2x = (5 * 0.2 + x * 0.2)
3.2 + 1.2x = (1 + 0.2x)

Solving
3.2 + 1.2x = 1 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
3.2 + 1.2x + -0.2x = 1 + 0.2x + -0.2x

Combine like terms: 1.2x + -0.2x = 1x
3.2 + 1x = 1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
3.2 + 1x = 1 + 0.0
3.2 + 1x = 1

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1x = 1 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1x = 1 + -3.2
1x = 1 + -3.2

Combine like terms: 1 + -3.2 = -2.2
1x = -2.2

Divide each side by '1'.
x = -2.2

Simplifying
x = -2.2

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