0.1(x+60)-0.04(x-10)=9.4

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Solution for 0.1(x+60)-0.04(x-10)=9.4 equation:


Simplifying
0.1(x + 60) + -0.04(x + -10) = 9.4

Reorder the terms:
0.1(60 + x) + -0.04(x + -10) = 9.4
(60 * 0.1 + x * 0.1) + -0.04(x + -10) = 9.4
(6 + 0.1x) + -0.04(x + -10) = 9.4

Reorder the terms:
6 + 0.1x + -0.04(-10 + x) = 9.4
6 + 0.1x + (-10 * -0.04 + x * -0.04) = 9.4
6 + 0.1x + (0.4 + -0.04x) = 9.4

Reorder the terms:
6 + 0.4 + 0.1x + -0.04x = 9.4

Combine like terms: 6 + 0.4 = 6.4
6.4 + 0.1x + -0.04x = 9.4

Combine like terms: 0.1x + -0.04x = 0.06x
6.4 + 0.06x = 9.4

Solving
6.4 + 0.06x = 9.4

Solving for variable 'x'.

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

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.06x = 9.4 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.06x = 9.4 + -6.4
0.06x = 9.4 + -6.4

Combine like terms: 9.4 + -6.4 = 3
0.06x = 3

Divide each side by '0.06'.
x = 50

Simplifying
x = 50

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