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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x+1.

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

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

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

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

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

Subtract 6 from 2 to get -4.

$$3x-4=5\left(x-1\right)-3$$

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

$$3x-4=5x-5-3$$

Subtract 3 from -5 to get -8.

$$3x-4=5x-8$$

Subtract 5x from both sides.

$$3x-4-5x=-8$$

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

$$-2x-4=-8$$

Add 4 to both sides.

$$-2x=-8+4$$

Add -8 and 4 to get -4.

$$-2x=-4$$

Divide both sides by -2.

$$x=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$x=2$$