0.2(x+40)-0.08(x-30)=5.6

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Solution for 0.2(x+40)-0.08(x-30)=5.6 equation: 


Simplifying
0.2(x + 40) + -0.08(x + -30) = 5.6

Reorder the terms:
0.2(40 + x) + -0.08(x + -30) = 5.6
(40 * 0.2 + x * 0.2) + -0.08(x + -30) = 5.6
(8 + 0.2x) + -0.08(x + -30) = 5.6

Reorder the terms:
8 + 0.2x + -0.08(-30 + x) = 5.6
8 + 0.2x + (-30 * -0.08 + x * -0.08) = 5.6
8 + 0.2x + (2.4 + -0.08x) = 5.6

Reorder the terms:
8 + 2.4 + 0.2x + -0.08x = 5.6

Combine like terms: 8 + 2.4 = 10.4
10.4 + 0.2x + -0.08x = 5.6

Combine like terms: 0.2x + -0.08x = 0.12x
10.4 + 0.12x = 5.6

Solving
10.4 + 0.12x = 5.6

Solving for variable 'x'.

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

Add '-10.4' to each side of the equation.
10.4 + -10.4 + 0.12x = 5.6 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 0.12x = 5.6 + -10.4
0.12x = 5.6 + -10.4

Combine like terms: 5.6 + -10.4 = -4.8
0.12x = -4.8

Divide each side by '0.12'.
x = -40

Simplifying
x = -40

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