8(3x+1)=4y-7x

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Solution for 8(3x+1)=4y-7x equation:


Simplifying
8(3x + 1) = 4y + -7x

Reorder the terms:
8(1 + 3x) = 4y + -7x
(1 * 8 + 3x * 8) = 4y + -7x
(8 + 24x) = 4y + -7x

Reorder the terms:
8 + 24x = -7x + 4y

Solving
8 + 24x = -7x + 4y

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 24x + 7x = -7x + 7x + 4y

Combine like terms: 24x + 7x = 31x
8 + 31x = -7x + 7x + 4y

Combine like terms: -7x + 7x = 0
8 + 31x = 0 + 4y
8 + 31x = 4y

Add '-8' to each side of the equation.
8 + -8 + 31x = -8 + 4y

Combine like terms: 8 + -8 = 0
0 + 31x = -8 + 4y
31x = -8 + 4y

Divide each side by '31'.
x = -0.2580645161 + 0.1290322581y

Simplifying
x = -0.2580645161 + 0.1290322581y

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