3x+10+5x-38=7y-42+3y+22

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Solution for 3x+10+5x-38=7y-42+3y+22 equation:


Simplifying
3x + 10 + 5x + -38 = 7y + -42 + 3y + 22

Reorder the terms:
10 + -38 + 3x + 5x = 7y + -42 + 3y + 22

Combine like terms: 10 + -38 = -28
-28 + 3x + 5x = 7y + -42 + 3y + 22

Combine like terms: 3x + 5x = 8x
-28 + 8x = 7y + -42 + 3y + 22

Reorder the terms:
-28 + 8x = -42 + 22 + 7y + 3y

Combine like terms: -42 + 22 = -20
-28 + 8x = -20 + 7y + 3y

Combine like terms: 7y + 3y = 10y
-28 + 8x = -20 + 10y

Solving
-28 + 8x = -20 + 10y

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 8x = -20 + 28 + 10y

Combine like terms: -28 + 28 = 0
0 + 8x = -20 + 28 + 10y
8x = -20 + 28 + 10y

Combine like terms: -20 + 28 = 8
8x = 8 + 10y

Divide each side by '8'.
x = 1 + 1.25y

Simplifying
x = 1 + 1.25y

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