.18(x-6)+.02x=.12x-.3

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Solution for .18(x-6)+.02x=.12x-.3 equation: 


Simplifying
0.18(x + -6) + 0.02x = 0.12x + -0.3

Reorder the terms:
0.18(-6 + x) + 0.02x = 0.12x + -0.3
(-6 * 0.18 + x * 0.18) + 0.02x = 0.12x + -0.3
(-1.08 + 0.18x) + 0.02x = 0.12x + -0.3

Combine like terms: 0.18x + 0.02x = 0.2x
-1.08 + 0.2x = 0.12x + -0.3

Reorder the terms:
-1.08 + 0.2x = -0.3 + 0.12x

Solving
-1.08 + 0.2x = -0.3 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
-1.08 + 0.2x + -0.12x = -0.3 + 0.12x + -0.12x

Combine like terms: 0.2x + -0.12x = 0.08x
-1.08 + 0.08x = -0.3 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
-1.08 + 0.08x = -0.3 + 0.00
-1.08 + 0.08x = -0.3

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.08x = -0.3 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.08x = -0.3 + 1.08
0.08x = -0.3 + 1.08

Combine like terms: -0.3 + 1.08 = 0.78
0.08x = 0.78

Divide each side by '0.08'.
x = 9.75

Simplifying
x = 9.75

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