3(x+y)=4x-5

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


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

Reorder the terms:
3x + 3y = -5 + 4x

Solving
3x + 3y = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x + 3y = -5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x + 3y = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x + 3y = -5 + 0
-1x + 3y = -5

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

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

Divide each side by '-1'.
x = 5 + 3y

Simplifying
x = 5 + 3y

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