5x+3y-56=-3x+18y-194

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Solution for 5x+3y-56=-3x+18y-194 equation:


Simplifying
5x + 3y + -56 = -3x + 18y + -194

Reorder the terms:
-56 + 5x + 3y = -3x + 18y + -194

Reorder the terms:
-56 + 5x + 3y = -194 + -3x + 18y

Solving
-56 + 5x + 3y = -194 + -3x + 18y

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.
-56 + 5x + 3x + 3y = -194 + -3x + 3x + 18y

Combine like terms: 5x + 3x = 8x
-56 + 8x + 3y = -194 + -3x + 3x + 18y

Combine like terms: -3x + 3x = 0
-56 + 8x + 3y = -194 + 0 + 18y
-56 + 8x + 3y = -194 + 18y

Add '56' to each side of the equation.
-56 + 8x + 56 + 3y = -194 + 56 + 18y

Reorder the terms:
-56 + 56 + 8x + 3y = -194 + 56 + 18y

Combine like terms: -56 + 56 = 0
0 + 8x + 3y = -194 + 56 + 18y
8x + 3y = -194 + 56 + 18y

Combine like terms: -194 + 56 = -138
8x + 3y = -138 + 18y

Add '-3y' to each side of the equation.
8x + 3y + -3y = -138 + 18y + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = -138 + 18y + -3y
8x = -138 + 18y + -3y

Combine like terms: 18y + -3y = 15y
8x = -138 + 15y

Divide each side by '8'.
x = -17.25 + 1.875y

Simplifying
x = -17.25 + 1.875y

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