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

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

Solve for x

$$x=\frac{3\left(y+4\right)}{10}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x-1.

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

Use the distributive property to multiply 3 by 2y+2.

$$-10x+5+6y+6=-1+3y$$

Add 5 and 6 to get 11.

$$-10x+11+6y=-1+3y$$

Subtract 11 from both sides.

$$-10x+6y=-1+3y-11$$

Subtract 11 from -1 to get -12.

$$-10x+6y=-12+3y$$

Subtract 6y from both sides.

$$-10x=-12+3y-6y$$

Combine 3y and -6y to get -3y.

$$-10x=-12-3y$$

The equation is in standard form.

$$-10x=-3y-12$$

Divide both sides by -10.

$$\frac{-10x}{-10}=\frac{-3y-12}{-10}$$

Dividing by -10 undoes the multiplication by -10.

$$x=\frac{-3y-12}{-10}$$

Divide -12-3y by -10.

$$x=\frac{3y}{10}+\frac{6}{5}$$