2x+3y-18=x-y-5

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Solution for 2x+3y-18=x-y-5 equation:


Simplifying
2x + 3y + -18 = x + -1y + -5

Reorder the terms:
-18 + 2x + 3y = x + -1y + -5

Reorder the terms:
-18 + 2x + 3y = -5 + x + -1y

Solving
-18 + 2x + 3y = -5 + x + -1y

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.
-18 + 2x + -1x + 3y = -5 + x + -1x + -1y

Combine like terms: 2x + -1x = 1x
-18 + 1x + 3y = -5 + x + -1x + -1y

Combine like terms: x + -1x = 0
-18 + 1x + 3y = -5 + 0 + -1y
-18 + 1x + 3y = -5 + -1y

Add '18' to each side of the equation.
-18 + 1x + 18 + 3y = -5 + 18 + -1y

Reorder the terms:
-18 + 18 + 1x + 3y = -5 + 18 + -1y

Combine like terms: -18 + 18 = 0
0 + 1x + 3y = -5 + 18 + -1y
1x + 3y = -5 + 18 + -1y

Combine like terms: -5 + 18 = 13
1x + 3y = 13 + -1y

Add '-3y' to each side of the equation.
1x + 3y + -3y = 13 + -1y + -3y

Combine like terms: 3y + -3y = 0
1x + 0 = 13 + -1y + -3y
1x = 13 + -1y + -3y

Combine like terms: -1y + -3y = -4y
1x = 13 + -4y

Divide each side by '1'.
x = 13 + -4y

Simplifying
x = 13 + -4y

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