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

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


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

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

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

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

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

Combine like terms: 4y + -4y = 0
-5 + 3x + 0 = -4 + 2x + 4y + -4y
-5 + 3x = -4 + 2x + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + 3x = -4 + 2x + 0
-5 + 3x = -4 + 2x

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

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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