0.25(x+20)-0.06(x-30)=-0.8

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Solution for 0.25(x+20)-0.06(x-30)=-0.8 equation: 


Simplifying
0.25(x + 20) + -0.06(x + -30) = -0.8

Reorder the terms:
0.25(20 + x) + -0.06(x + -30) = -0.8
(20 * 0.25 + x * 0.25) + -0.06(x + -30) = -0.8
(5 + 0.25x) + -0.06(x + -30) = -0.8

Reorder the terms:
5 + 0.25x + -0.06(-30 + x) = -0.8
5 + 0.25x + (-30 * -0.06 + x * -0.06) = -0.8
5 + 0.25x + (1.8 + -0.06x) = -0.8

Reorder the terms:
5 + 1.8 + 0.25x + -0.06x = -0.8

Combine like terms: 5 + 1.8 = 6.8
6.8 + 0.25x + -0.06x = -0.8

Combine like terms: 0.25x + -0.06x = 0.19x
6.8 + 0.19x = -0.8

Solving
6.8 + 0.19x = -0.8

Solving for variable 'x'.

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

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 0.19x = -0.8 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.19x = -0.8 + -6.8
0.19x = -0.8 + -6.8

Combine like terms: -0.8 + -6.8 = -7.6
0.19x = -7.6

Divide each side by '0.19'.
x = -40

Simplifying
x = -40

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