30(.5x-2)+40(.75y-2)=

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Solution for 30(.5x-2)+40(.75y-2)= equation:


Simplifying
30(0.5x + -2) + 40(0.75y + -2) = 0

Reorder the terms:
30(-2 + 0.5x) + 40(0.75y + -2) = 0
(-2 * 30 + 0.5x * 30) + 40(0.75y + -2) = 0
(-60 + 15x) + 40(0.75y + -2) = 0

Reorder the terms:
-60 + 15x + 40(-2 + 0.75y) = 0
-60 + 15x + (-2 * 40 + 0.75y * 40) = 0
-60 + 15x + (-80 + 30y) = 0

Reorder the terms:
-60 + -80 + 15x + 30y = 0

Combine like terms: -60 + -80 = -140
-140 + 15x + 30y = 0

Solving
-140 + 15x + 30y = 0

Solving for variable 'x'.

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

Add '140' to each side of the equation.
-140 + 15x + 140 + 30y = 0 + 140

Reorder the terms:
-140 + 140 + 15x + 30y = 0 + 140

Combine like terms: -140 + 140 = 0
0 + 15x + 30y = 0 + 140
15x + 30y = 0 + 140

Combine like terms: 0 + 140 = 140
15x + 30y = 140

Add '-30y' to each side of the equation.
15x + 30y + -30y = 140 + -30y

Combine like terms: 30y + -30y = 0
15x + 0 = 140 + -30y
15x = 140 + -30y

Divide each side by '15'.
x = 9.333333333 + -2y

Simplifying
x = 9.333333333 + -2y

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