Solve 2x-3(x+1)=4(x+3)

$$2x-3(x+1)=4(x+3)$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

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

$$2x-3x-3=4\left(x+3\right)$$

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

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

Use the distributive property to multiply 4 by x+3.

$$-x-3=4x+12$$

Subtract 4x from both sides.

$$-x-3-4x=12$$

Combine -x and -4x to get -5x.

$$-5x-3=12$$

Add 3 to both sides.

$$-5x=12+3$$

Add 12 and 3 to get 15.

$$-5x=15$$

Divide both sides by -5.

$$x=\frac{15}{-5}$$

Divide 15 by -5 to get -3.

$$x=-3$$