7y-2+4x+1=9y+3x

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Solution for 7y-2+4x+1=9y+3x equation:


Simplifying
7y + -2 + 4x + 1 = 9y + 3x

Reorder the terms:
-2 + 1 + 4x + 7y = 9y + 3x

Combine like terms: -2 + 1 = -1
-1 + 4x + 7y = 9y + 3x

Reorder the terms:
-1 + 4x + 7y = 3x + 9y

Solving
-1 + 4x + 7y = 3x + 9y

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.
-1 + 4x + -3x + 7y = 3x + -3x + 9y

Combine like terms: 4x + -3x = 1x
-1 + 1x + 7y = 3x + -3x + 9y

Combine like terms: 3x + -3x = 0
-1 + 1x + 7y = 0 + 9y
-1 + 1x + 7y = 9y

Add '1' to each side of the equation.
-1 + 1x + 1 + 7y = 1 + 9y

Reorder the terms:
-1 + 1 + 1x + 7y = 1 + 9y

Combine like terms: -1 + 1 = 0
0 + 1x + 7y = 1 + 9y
1x + 7y = 1 + 9y

Add '-7y' to each side of the equation.
1x + 7y + -7y = 1 + 9y + -7y

Combine like terms: 7y + -7y = 0
1x + 0 = 1 + 9y + -7y
1x = 1 + 9y + -7y

Combine like terms: 9y + -7y = 2y
1x = 1 + 2y

Divide each side by '1'.
x = 1 + 2y

Simplifying
x = 1 + 2y

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