Solve (x+1)+2(x-2)+3(x+3)=200

$$( x + 1 ) + 2 ( x - 2 ) + 3 ( x + 3 ) = 200$$

Solve for x

$$x = \frac{97}{3} = 32\frac{1}{3} \approx 32.333333333$$

Steps for Solving Linear Equation

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

$$x+1+2x-4+3\left(x+3\right)=200$$

Combine x and 2x to get 3x.

$$3x+1-4+3\left(x+3\right)=200$$

Subtract 4 from 1 to get -3.

$$3x-3+3\left(x+3\right)=200$$

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

$$3x-3+3x+9=200$$

Combine 3x and 3x to get 6x.

$$6x-3+9=200$$

Add -3 and 9 to get 6.

$$6x+6=200$$

Subtract 6 from both sides.

$$6x=200-6$$

Subtract 6 from 200 to get 194.

$$6x=194$$

Divide both sides by 6.

$$x=\frac{194}{6}$$

Reduce the fraction \frac{194}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{97}{3}$$