Solve 2*(x-5)=2*6+(x-6)*1

$$2 \times (x-5)=2 \times 6+(x-6) \times 1$$

Solve for x

$$x=16$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-5.

$$2x-10=2\times 6+\left(x-6\right)\times 1$$

Multiply 2 and 6 to get 12.

$$2x-10=12+\left(x-6\right)\times 1$$

Use the distributive property to multiply x-6 by 1.

$$2x-10=12+x-6$$

Subtract 6 from 12 to get 6.

$$2x-10=6+x$$

Subtract x from both sides.

$$2x-10-x=6$$

Combine 2x and -x to get x.

$$x-10=6$$

Add 10 to both sides.

$$x=6+10$$

Add 6 and 10 to get 16.

$$x=16$$