5x-7=3(x+y)

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Solution for 5x-7=3(x+y) equation:


Simplifying
5x + -7 = 3(x + y)

Reorder the terms:
-7 + 5x = 3(x + y)
-7 + 5x = (x * 3 + y * 3)
-7 + 5x = (3x + 3y)

Solving
-7 + 5x = 3x + 3y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 5x + -3x = 3x + -3x + 3y

Combine like terms: 5x + -3x = 2x
-7 + 2x = 3x + -3x + 3y

Combine like terms: 3x + -3x = 0
-7 + 2x = 0 + 3y
-7 + 2x = 3y

Add '7' to each side of the equation.
-7 + 7 + 2x = 7 + 3y

Combine like terms: -7 + 7 = 0
0 + 2x = 7 + 3y
2x = 7 + 3y

Divide each side by '2'.
x = 3.5 + 1.5y

Simplifying
x = 3.5 + 1.5y

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