0.3(x+40)-0.06(x-60)=6

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Solution for 0.3(x+40)-0.06(x-60)=6 equation: 


Simplifying
0.3(x + 40) + -0.06(x + -60) = 6

Reorder the terms:
0.3(40 + x) + -0.06(x + -60) = 6
(40 * 0.3 + x * 0.3) + -0.06(x + -60) = 6
(12 + 0.3x) + -0.06(x + -60) = 6

Reorder the terms:
12 + 0.3x + -0.06(-60 + x) = 6
12 + 0.3x + (-60 * -0.06 + x * -0.06) = 6
12 + 0.3x + (3.6 + -0.06x) = 6

Reorder the terms:
12 + 3.6 + 0.3x + -0.06x = 6

Combine like terms: 12 + 3.6 = 15.6
15.6 + 0.3x + -0.06x = 6

Combine like terms: 0.3x + -0.06x = 0.24x
15.6 + 0.24x = 6

Solving
15.6 + 0.24x = 6

Solving for variable 'x'.

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

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 0.24x = 6 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 0.24x = 6 + -15.6
0.24x = 6 + -15.6

Combine like terms: 6 + -15.6 = -9.6
0.24x = -9.6

Divide each side by '0.24'.
x = -40

Simplifying
x = -40

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