4x+3y-2=x+5

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Solution for 4x+3y-2=x+5 equation:


Simplifying
4x + 3y + -2 = x + 5

Reorder the terms:
-2 + 4x + 3y = x + 5

Reorder the terms:
-2 + 4x + 3y = 5 + x

Solving
-2 + 4x + 3y = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 4x + -1x + 3y = 5 + x + -1x

Combine like terms: 4x + -1x = 3x
-2 + 3x + 3y = 5 + x + -1x

Combine like terms: x + -1x = 0
-2 + 3x + 3y = 5 + 0
-2 + 3x + 3y = 5

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

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

Combine like terms: -2 + 2 = 0
0 + 3x + 3y = 5 + 2
3x + 3y = 5 + 2

Combine like terms: 5 + 2 = 7
3x + 3y = 7

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

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

Divide each side by '3'.
x = 2.333333333 + -1y

Simplifying
x = 2.333333333 + -1y

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