Solve 2x+3(x+1)+4(x+2)=74

$$2 x + 3 ( x + 1 ) + 4 ( x + 2 ) = 74$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+1.

$$2x+3x+3+4\left(x+2\right)=74$$

Combine 2x and 3x to get 5x.

$$5x+3+4\left(x+2\right)=74$$

Use the distributive property to multiply 4 by x+2.

$$5x+3+4x+8=74$$

Combine 5x and 4x to get 9x.

$$9x+3+8=74$$

Add 3 and 8 to get 11.

$$9x+11=74$$

Subtract 11 from both sides.

$$9x=74-11$$

Subtract 11 from 74 to get 63.

$$9x=63$$

Divide both sides by 9.

$$x=\frac{63}{9}$$

Divide 63 by 9 to get 7.

$$x=7$$