0.15(x+40)-0.06(x-50)=14.4

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Solution for 0.15(x+40)-0.06(x-50)=14.4 equation: 


Simplifying
0.15(x + 40) + -0.06(x + -50) = 14.4

Reorder the terms:
0.15(40 + x) + -0.06(x + -50) = 14.4
(40 * 0.15 + x * 0.15) + -0.06(x + -50) = 14.4
(6 + 0.15x) + -0.06(x + -50) = 14.4

Reorder the terms:
6 + 0.15x + -0.06(-50 + x) = 14.4
6 + 0.15x + (-50 * -0.06 + x * -0.06) = 14.4
6 + 0.15x + (3 + -0.06x) = 14.4

Reorder the terms:
6 + 3 + 0.15x + -0.06x = 14.4

Combine like terms: 6 + 3 = 9
9 + 0.15x + -0.06x = 14.4

Combine like terms: 0.15x + -0.06x = 0.09x
9 + 0.09x = 14.4

Solving
9 + 0.09x = 14.4

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 0.09x = 14.4 + -9

Combine like terms: 9 + -9 = 0
0 + 0.09x = 14.4 + -9
0.09x = 14.4 + -9

Combine like terms: 14.4 + -9 = 5.4
0.09x = 5.4

Divide each side by '0.09'.
x = 60

Simplifying
x = 60

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