.1(x+50)-0.04(x-60)=8

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Solution for .1(x+50)-0.04(x-60)=8 equation: 


Simplifying
0.1(x + 50) + -0.04(x + -60) = 8

Reorder the terms:
0.1(50 + x) + -0.04(x + -60) = 8
(50 * 0.1 + x * 0.1) + -0.04(x + -60) = 8
(5 + 0.1x) + -0.04(x + -60) = 8

Reorder the terms:
5 + 0.1x + -0.04(-60 + x) = 8
5 + 0.1x + (-60 * -0.04 + x * -0.04) = 8
5 + 0.1x + (2.4 + -0.04x) = 8

Reorder the terms:
5 + 2.4 + 0.1x + -0.04x = 8

Combine like terms: 5 + 2.4 = 7.4
7.4 + 0.1x + -0.04x = 8

Combine like terms: 0.1x + -0.04x = 0.06x
7.4 + 0.06x = 8

Solving
7.4 + 0.06x = 8

Solving for variable 'x'.

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

Add '-7.4' to each side of the equation.
7.4 + -7.4 + 0.06x = 8 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + 0.06x = 8 + -7.4
0.06x = 8 + -7.4

Combine like terms: 8 + -7.4 = 0.6
0.06x = 0.6

Divide each side by '0.06'.
x = 10

Simplifying
x = 10

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