Solve 2*(6+x)+(6+x)+x=1140

$$2 \times (6+x)+(6+x)+x=1140$$

Solve for x

$$x = \frac{561}{2} = 280\frac{1}{2} = 280.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 6+x.

$$12+2x+6+x+x=1140$$

Add 12 and 6 to get 18.

$$18+2x+x+x=1140$$

Combine 2x and x to get 3x.

$$18+3x+x=1140$$

Combine 3x and x to get 4x.

$$18+4x=1140$$

Subtract 18 from both sides.

$$4x=1140-18$$

Subtract 18 from 1140 to get 1122.

$$4x=1122$$

Divide both sides by 4.

$$x=\frac{1122}{4}$$

Reduce the fraction \frac{1122}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{561}{2}$$