Solve 6y-5(x-2)=2(3y-x)+1

$$6 y - 5 ( x - 2 ) = 2 ( 3 y - x ) + 1$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-2.

$$6y-5x+10=2\left(3y-x\right)+1$$

Use the distributive property to multiply 2 by 3y-x.

$$6y-5x+10=6y-2x+1$$

Add 2x to both sides.

$$6y-5x+10+2x=6y+1$$

Combine -5x and 2x to get -3x.

$$6y-3x+10=6y+1$$

Subtract 6y from both sides.

$$-3x+10=6y+1-6y$$

Combine 6y and -6y to get 0.

$$-3x+10=1$$

Subtract 10 from both sides.

$$-3x=1-10$$

Subtract 10 from 1 to get -9.

$$-3x=-9$$

Divide both sides by -3.

$$x=\frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$x=3$$

Solve for y (complex solution)

$$y\in \mathrm{C}$$

$$x=3$$

Solve for y

$$y\in \mathrm{R}$$

$$x=3$$