5x+y-2=2x+5

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Solution for 5x+y-2=2x+5 equation:


Simplifying
5x + y + -2 = 2x + 5

Reorder the terms:
-2 + 5x + y = 2x + 5

Reorder the terms:
-2 + 5x + y = 5 + 2x

Solving
-2 + 5x + y = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 5x + -2x + y = 5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2 + 3x + y = 5 + 0
-2 + 3x + y = 5

Add '2' to each side of the equation.
-2 + 3x + 2 + y = 5 + 2

Reorder the terms:
-2 + 2 + 3x + y = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 3x + y = 5 + 2
3x + y = 5 + 2

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

Add '-1y' to each side of the equation.
3x + y + -1y = 7 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 7 + -1y
3x = 7 + -1y

Divide each side by '3'.
x = 2.333333333 + -0.3333333333y

Simplifying
x = 2.333333333 + -0.3333333333y

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