0.15(x+50)-0.04(x-20)=2.8

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Solution for 0.15(x+50)-0.04(x-20)=2.8 equation: 


Simplifying
0.15(x + 50) + -0.04(x + -20) = 2.8

Reorder the terms:
0.15(50 + x) + -0.04(x + -20) = 2.8
(50 * 0.15 + x * 0.15) + -0.04(x + -20) = 2.8
(7.5 + 0.15x) + -0.04(x + -20) = 2.8

Reorder the terms:
7.5 + 0.15x + -0.04(-20 + x) = 2.8
7.5 + 0.15x + (-20 * -0.04 + x * -0.04) = 2.8
7.5 + 0.15x + (0.8 + -0.04x) = 2.8

Reorder the terms:
7.5 + 0.8 + 0.15x + -0.04x = 2.8

Combine like terms: 7.5 + 0.8 = 8.3
8.3 + 0.15x + -0.04x = 2.8

Combine like terms: 0.15x + -0.04x = 0.11x
8.3 + 0.11x = 2.8

Solving
8.3 + 0.11x = 2.8

Solving for variable 'x'.

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

Add '-8.3' to each side of the equation.
8.3 + -8.3 + 0.11x = 2.8 + -8.3

Combine like terms: 8.3 + -8.3 = 0.0
0.0 + 0.11x = 2.8 + -8.3
0.11x = 2.8 + -8.3

Combine like terms: 2.8 + -8.3 = -5.5
0.11x = -5.5

Divide each side by '0.11'.
x = -50

Simplifying
x = -50

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