7(x-8)+24=3(y-6)

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Solution for 7(x-8)+24=3(y-6) equation:


Simplifying
7(x + -8) + 24 = 3(y + -6)

Reorder the terms:
7(-8 + x) + 24 = 3(y + -6)
(-8 * 7 + x * 7) + 24 = 3(y + -6)
(-56 + 7x) + 24 = 3(y + -6)

Reorder the terms:
-56 + 24 + 7x = 3(y + -6)

Combine like terms: -56 + 24 = -32
-32 + 7x = 3(y + -6)

Reorder the terms:
-32 + 7x = 3(-6 + y)
-32 + 7x = (-6 * 3 + y * 3)
-32 + 7x = (-18 + 3y)

Solving
-32 + 7x = -18 + 3y

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 7x = -18 + 32 + 3y

Combine like terms: -32 + 32 = 0
0 + 7x = -18 + 32 + 3y
7x = -18 + 32 + 3y

Combine like terms: -18 + 32 = 14
7x = 14 + 3y

Divide each side by '7'.
x = 2 + 0.4285714286y

Simplifying
x = 2 + 0.4285714286y

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