5(x+5)=3(x-4)+y

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Solution for 5(x+5)=3(x-4)+y equation: 


Simplifying
5(x + 5) = 3(x + -4) + y

Reorder the terms:
5(5 + x) = 3(x + -4) + y
(5 * 5 + x * 5) = 3(x + -4) + y
(25 + 5x) = 3(x + -4) + y

Reorder the terms:
25 + 5x = 3(-4 + x) + y
25 + 5x = (-4 * 3 + x * 3) + y
25 + 5x = (-12 + 3x) + y

Solving
25 + 5x = -12 + 3x + y

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.
25 + 5x + -3x = -12 + 3x + -3x + y

Combine like terms: 5x + -3x = 2x
25 + 2x = -12 + 3x + -3x + y

Combine like terms: 3x + -3x = 0
25 + 2x = -12 + 0 + y
25 + 2x = -12 + y

Add '-25' to each side of the equation.
25 + -25 + 2x = -12 + -25 + y

Combine like terms: 25 + -25 = 0
0 + 2x = -12 + -25 + y
2x = -12 + -25 + y

Combine like terms: -12 + -25 = -37
2x = -37 + y

Divide each side by '2'.
x = -18.5 + 0.5y

Simplifying
x = -18.5 + 0.5y

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