7y-6x+5=4y+3x-2

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Solution for 7y-6x+5=4y+3x-2 equation:


Simplifying
7y + -6x + 5 = 4y + 3x + -2

Reorder the terms:
5 + -6x + 7y = 4y + 3x + -2

Reorder the terms:
5 + -6x + 7y = -2 + 3x + 4y

Solving
5 + -6x + 7y = -2 + 3x + 4y

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.
5 + -6x + -3x + 7y = -2 + 3x + -3x + 4y

Combine like terms: -6x + -3x = -9x
5 + -9x + 7y = -2 + 3x + -3x + 4y

Combine like terms: 3x + -3x = 0
5 + -9x + 7y = -2 + 0 + 4y
5 + -9x + 7y = -2 + 4y

Add '-5' to each side of the equation.
5 + -9x + -5 + 7y = -2 + -5 + 4y

Reorder the terms:
5 + -5 + -9x + 7y = -2 + -5 + 4y

Combine like terms: 5 + -5 = 0
0 + -9x + 7y = -2 + -5 + 4y
-9x + 7y = -2 + -5 + 4y

Combine like terms: -2 + -5 = -7
-9x + 7y = -7 + 4y

Add '-7y' to each side of the equation.
-9x + 7y + -7y = -7 + 4y + -7y

Combine like terms: 7y + -7y = 0
-9x + 0 = -7 + 4y + -7y
-9x = -7 + 4y + -7y

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

Divide each side by '-9'.
x = 0.7777777778 + 0.3333333333y

Simplifying
x = 0.7777777778 + 0.3333333333y

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