Solve -2(2x-3)=3(x+1)+10

$$-2(2x-3)=3(x+1)+10$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$-4x+6=3\left(x+1\right)+10$$

Use the distributive property to multiply 3 by x+1.

$$-4x+6=3x+3+10$$

Add 3 and 10 to get 13.

$$-4x+6=3x+13$$

Subtract 3x from both sides.

$$-4x+6-3x=13$$

Combine -4x and -3x to get -7x.

$$-7x+6=13$$

Subtract 6 from both sides.

$$-7x=13-6$$

Subtract 6 from 13 to get 7.

$$-7x=7$$

Divide both sides by -7.

$$x=\frac{7}{-7}$$

Divide 7 by -7 to get -1.

$$x=-1$$