Solve -5(x-3)=15(x-6)+5

$$-5(x-3)=15(x-6)+5$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x-3.

$$-5x+15=15\left(x-6\right)+5$$

Use the distributive property to multiply 15 by x-6.

$$-5x+15=15x-90+5$$

Add -90 and 5 to get -85.

$$-5x+15=15x-85$$

Subtract 15x from both sides.

$$-5x+15-15x=-85$$

Combine -5x and -15x to get -20x.

$$-20x+15=-85$$

Subtract 15 from both sides.

$$-20x=-85-15$$

Subtract 15 from -85 to get -100.

$$-20x=-100$$

Divide both sides by -20.

$$x=\frac{-100}{-20}$$

Divide -100 by -20 to get 5.

$$x=5$$