0.20(x-6)+0.16x=0.18y-0.07(30)

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Solution for 0.20(x-6)+0.16x=0.18y-0.07(30) equation:


Simplifying
0.20(x + -6) + 0.16x = 0.18y + -0.07(30)

Reorder the terms:
0.20(-6 + x) + 0.16x = 0.18y + -0.07(30)
(-6 * 0.20 + x * 0.20) + 0.16x = 0.18y + -0.07(30)
(-1.2 + 0.20x) + 0.16x = 0.18y + -0.07(30)

Combine like terms: 0.20x + 0.16x = 0.36x
-1.2 + 0.36x = 0.18y + -0.07(30)

Multiply -0.07 * 30
-1.2 + 0.36x = 0.18y + -2.1

Reorder the terms:
-1.2 + 0.36x = -2.1 + 0.18y

Solving
-1.2 + 0.36x = -2.1 + 0.18y

Solving for variable 'x'.

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.36x = -2.1 + 1.2 + 0.18y

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.36x = -2.1 + 1.2 + 0.18y
0.36x = -2.1 + 1.2 + 0.18y

Combine like terms: -2.1 + 1.2 = -0.9
0.36x = -0.9 + 0.18y

Divide each side by '0.36'.
x = -2.5 + 0.5y

Simplifying
x = -2.5 + 0.5y

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