Solve 10(2x-10)-5=10(x-9)+5

$$10(2x-10)-5=10(x-9)+5$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 2x-10.

$$20x-100-5=10\left(x-9\right)+5$$

Subtract 5 from -100 to get -105.

$$20x-105=10\left(x-9\right)+5$$

Use the distributive property to multiply 10 by x-9.

$$20x-105=10x-90+5$$

Add -90 and 5 to get -85.

$$20x-105=10x-85$$

Subtract 10x from both sides.

$$20x-105-10x=-85$$

Combine 20x and -10x to get 10x.

$$10x-105=-85$$

Add 105 to both sides.

$$10x=-85+105$$

Add -85 and 105 to get 20.

$$10x=20$$

Divide both sides by 10.

$$x=\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$x=2$$