0.15(x+10)-0.08(x-60)=8.4

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Solution for 0.15(x+10)-0.08(x-60)=8.4 equation: 


Simplifying
0.15(x + 10) + -0.08(x + -60) = 8.4

Reorder the terms:
0.15(10 + x) + -0.08(x + -60) = 8.4
(10 * 0.15 + x * 0.15) + -0.08(x + -60) = 8.4
(1.5 + 0.15x) + -0.08(x + -60) = 8.4

Reorder the terms:
1.5 + 0.15x + -0.08(-60 + x) = 8.4
1.5 + 0.15x + (-60 * -0.08 + x * -0.08) = 8.4
1.5 + 0.15x + (4.8 + -0.08x) = 8.4

Reorder the terms:
1.5 + 4.8 + 0.15x + -0.08x = 8.4

Combine like terms: 1.5 + 4.8 = 6.3
6.3 + 0.15x + -0.08x = 8.4

Combine like terms: 0.15x + -0.08x = 0.07x
6.3 + 0.07x = 8.4

Solving
6.3 + 0.07x = 8.4

Solving for variable 'x'.

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

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 0.07x = 8.4 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 0.07x = 8.4 + -6.3
0.07x = 8.4 + -6.3

Combine like terms: 8.4 + -6.3 = 2.1
0.07x = 2.1

Divide each side by '0.07'.
x = 30

Simplifying
x = 30

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