2x+y-8=5x-3y-15

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Solution for 2x+y-8=5x-3y-15 equation:


Simplifying
2x + y + -8 = 5x + -3y + -15

Reorder the terms:
-8 + 2x + y = 5x + -3y + -15

Reorder the terms:
-8 + 2x + y = -15 + 5x + -3y

Solving
-8 + 2x + y = -15 + 5x + -3y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 2x + -5x + y = -15 + 5x + -5x + -3y

Combine like terms: 2x + -5x = -3x
-8 + -3x + y = -15 + 5x + -5x + -3y

Combine like terms: 5x + -5x = 0
-8 + -3x + y = -15 + 0 + -3y
-8 + -3x + y = -15 + -3y

Add '8' to each side of the equation.
-8 + -3x + 8 + y = -15 + 8 + -3y

Reorder the terms:
-8 + 8 + -3x + y = -15 + 8 + -3y

Combine like terms: -8 + 8 = 0
0 + -3x + y = -15 + 8 + -3y
-3x + y = -15 + 8 + -3y

Combine like terms: -15 + 8 = -7
-3x + y = -7 + -3y

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

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

Combine like terms: -3y + -1y = -4y
-3x = -7 + -4y

Divide each side by '-3'.
x = 2.333333333 + 1.333333333y

Simplifying
x = 2.333333333 + 1.333333333y

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