Solve 2(x+9)=4(x+7)+2

$$2(x+9)=4(x+7)+2$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+9.

$$2x+18=4\left(x+7\right)+2$$

Use the distributive property to multiply 4 by x+7.

$$2x+18=4x+28+2$$

Add 28 and 2 to get 30.

$$2x+18=4x+30$$

Subtract 4x from both sides.

$$2x+18-4x=30$$

Combine 2x and -4x to get -2x.

$$-2x+18=30$$

Subtract 18 from both sides.

$$-2x=30-18$$

Subtract 18 from 30 to get 12.

$$-2x=12$$

Divide both sides by -2.

$$x=\frac{12}{-2}$$

Divide 12 by -2 to get -6.

$$x=-6$$