2(x-3)+y=x-5

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Solution for 2(x-3)+y=x-5 equation:


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

Reorder the terms:
2(-3 + x) + y = x + -5
(-3 * 2 + x * 2) + y = x + -5
(-6 + 2x) + y = x + -5

Reorder the terms:
-6 + 2x + y = -5 + x

Solving
-6 + 2x + y = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x + y = -5 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x + y = -5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 1x + y = -5 + 0
-6 + 1x + y = -5

Add '6' to each side of the equation.
-6 + 1x + 6 + y = -5 + 6

Reorder the terms:
-6 + 6 + 1x + y = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 1x + y = -5 + 6
1x + y = -5 + 6

Combine like terms: -5 + 6 = 1
1x + y = 1

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

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

Divide each side by '1'.
x = 1 + -1y

Simplifying
x = 1 + -1y

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