Solve (x+4)+x=10(x+4)+x/7

$$( x + 4 ) + x = \frac { 10 ( x + 4 ) + x } { 7 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7.

$$7x+28+7x=10\left(x+4\right)+x$$

Combine 7x and 7x to get 14x.

$$14x+28=10\left(x+4\right)+x$$

Use the distributive property to multiply 10 by x+4.

$$14x+28=10x+40+x$$

Combine 10x and x to get 11x.

$$14x+28=11x+40$$

Subtract 11x from both sides.

$$14x+28-11x=40$$

Combine 14x and -11x to get 3x.

$$3x+28=40$$

Subtract 28 from both sides.

$$3x=40-28$$

Subtract 28 from 40 to get 12.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$