0.3(x+60)-0.05(x-10)=6

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Solution for 0.3(x+60)-0.05(x-10)=6 equation: 


Simplifying
0.3(x + 60) + -0.05(x + -10) = 6

Reorder the terms:
0.3(60 + x) + -0.05(x + -10) = 6
(60 * 0.3 + x * 0.3) + -0.05(x + -10) = 6
(18 + 0.3x) + -0.05(x + -10) = 6

Reorder the terms:
18 + 0.3x + -0.05(-10 + x) = 6
18 + 0.3x + (-10 * -0.05 + x * -0.05) = 6
18 + 0.3x + (0.5 + -0.05x) = 6

Reorder the terms:
18 + 0.5 + 0.3x + -0.05x = 6

Combine like terms: 18 + 0.5 = 18.5
18.5 + 0.3x + -0.05x = 6

Combine like terms: 0.3x + -0.05x = 0.25x
18.5 + 0.25x = 6

Solving
18.5 + 0.25x = 6

Solving for variable 'x'.

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

Add '-18.5' to each side of the equation.
18.5 + -18.5 + 0.25x = 6 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + 0.25x = 6 + -18.5
0.25x = 6 + -18.5

Combine like terms: 6 + -18.5 = -12.5
0.25x = -12.5

Divide each side by '0.25'.
x = -50

Simplifying
x = -50

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