Solve (x+4)+5*(x+2)=4*(x+1)

$$( x + 4 ) + 5 \cdot ( x + 2 ) = 4 \cdot ( x + 1 )$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

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

$$x+4+5x+10=4\left(x+1\right)$$

Combine x and 5x to get 6x.

$$6x+4+10=4\left(x+1\right)$$

Add 4 and 10 to get 14.

$$6x+14=4\left(x+1\right)$$

Use the distributive property to multiply 4 by x+1.

$$6x+14=4x+4$$

Subtract 4x from both sides.

$$6x+14-4x=4$$

Combine 6x and -4x to get 2x.

$$2x+14=4$$

Subtract 14 from both sides.

$$2x=4-14$$

Subtract 14 from 4 to get -10.

$$2x=-10$$

Divide both sides by 2.

$$x=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$x=-5$$