4(x+y)=3x+5

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


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

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

Solving
4x + 4y = 5 + 3x

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

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

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

Add '-4y' to each side of the equation.
1x + 4y + -4y = 5 + -4y

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

Divide each side by '1'.
x = 5 + -4y

Simplifying
x = 5 + -4y

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