0.15(x+30)-0.06(x-50)=8.4

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Solution for 0.15(x+30)-0.06(x-50)=8.4 equation: 


Simplifying
0.15(x + 30) + -0.06(x + -50) = 8.4

Reorder the terms:
0.15(30 + x) + -0.06(x + -50) = 8.4
(30 * 0.15 + x * 0.15) + -0.06(x + -50) = 8.4
(4.5 + 0.15x) + -0.06(x + -50) = 8.4

Reorder the terms:
4.5 + 0.15x + -0.06(-50 + x) = 8.4
4.5 + 0.15x + (-50 * -0.06 + x * -0.06) = 8.4
4.5 + 0.15x + (3 + -0.06x) = 8.4

Reorder the terms:
4.5 + 3 + 0.15x + -0.06x = 8.4

Combine like terms: 4.5 + 3 = 7.5
7.5 + 0.15x + -0.06x = 8.4

Combine like terms: 0.15x + -0.06x = 0.09x
7.5 + 0.09x = 8.4

Solving
7.5 + 0.09x = 8.4

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 0.09x = 8.4 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.09x = 8.4 + -7.5
0.09x = 8.4 + -7.5

Combine like terms: 8.4 + -7.5 = 0.9
0.09x = 0.9

Divide each side by '0.09'.
x = 10

Simplifying
x = 10

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