Solve 2(x+2)=5(x+1)-7

$$2 ( x + 2 ) = 5 ( x + 1 ) - 7$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$2x+4=5\left(x+1\right)-7$$

Use the distributive property to multiply 5 by x+1.

$$2x+4=5x+5-7$$

Subtract 7 from 5 to get -2.

$$2x+4=5x-2$$

Subtract 5x from both sides.

$$2x+4-5x=-2$$

Combine 2x and -5x to get -3x.

$$-3x+4=-2$$

Subtract 4 from both sides.

$$-3x=-2-4$$

Subtract 4 from -2 to get -6.

$$-3x=-6$$

Divide both sides by -3.

$$x=\frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$x=2$$