8(2x-3)=4(3y+6)-40

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Solution for 8(2x-3)=4(3y+6)-40 equation:


Simplifying
8(2x + -3) = 4(3y + 6) + -40

Reorder the terms:
8(-3 + 2x) = 4(3y + 6) + -40
(-3 * 8 + 2x * 8) = 4(3y + 6) + -40
(-24 + 16x) = 4(3y + 6) + -40

Reorder the terms:
-24 + 16x = 4(6 + 3y) + -40
-24 + 16x = (6 * 4 + 3y * 4) + -40
-24 + 16x = (24 + 12y) + -40

Reorder the terms:
-24 + 16x = 24 + -40 + 12y

Combine like terms: 24 + -40 = -16
-24 + 16x = -16 + 12y

Solving
-24 + 16x = -16 + 12y

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 16x = -16 + 24 + 12y

Combine like terms: -24 + 24 = 0
0 + 16x = -16 + 24 + 12y
16x = -16 + 24 + 12y

Combine like terms: -16 + 24 = 8
16x = 8 + 12y

Divide each side by '16'.
x = 0.5 + 0.75y

Simplifying
x = 0.5 + 0.75y

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