Solve 5left(x-4right)-3left(x+2right)=15

$$5 \left( x-4 \right) -3 \left( x+2 \right) = 15$$

Solve for x

$$x = \frac{41}{2} = 20\frac{1}{2} = 20.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-4.

$$5x-20-3\left(x+2\right)=15$$

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

$$5x-20-3x-6=15$$

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

$$2x-20-6=15$$

Subtract 6 from -20 to get -26.

$$2x-26=15$$

Add 26 to both sides.

$$2x=15+26$$

Add 15 and 26 to get 41.

$$2x=41$$

Divide both sides by 2.

$$x=\frac{41}{2}$$