0.15(x+30)-0.04(x-10)=6

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Solution for 0.15(x+30)-0.04(x-10)=6 equation: 


Simplifying
0.15(x + 30) + -0.04(x + -10) = 6

Reorder the terms:
0.15(30 + x) + -0.04(x + -10) = 6
(30 * 0.15 + x * 0.15) + -0.04(x + -10) = 6
(4.5 + 0.15x) + -0.04(x + -10) = 6

Reorder the terms:
4.5 + 0.15x + -0.04(-10 + x) = 6
4.5 + 0.15x + (-10 * -0.04 + x * -0.04) = 6
4.5 + 0.15x + (0.4 + -0.04x) = 6

Reorder the terms:
4.5 + 0.4 + 0.15x + -0.04x = 6

Combine like terms: 4.5 + 0.4 = 4.9
4.9 + 0.15x + -0.04x = 6

Combine like terms: 0.15x + -0.04x = 0.11x
4.9 + 0.11x = 6

Solving
4.9 + 0.11x = 6

Solving for variable 'x'.

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

Add '-4.9' to each side of the equation.
4.9 + -4.9 + 0.11x = 6 + -4.9

Combine like terms: 4.9 + -4.9 = 0.0
0.0 + 0.11x = 6 + -4.9
0.11x = 6 + -4.9

Combine like terms: 6 + -4.9 = 1.1
0.11x = 1.1

Divide each side by '0.11'.
x = 10

Simplifying
x = 10

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