Solve 5(x+1)=3(x-2)

$$5 ( x + 1 ) = 3 ( x - 2 )$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by x-2.

$$5x+5=3x-6$$

Subtract 3x from both sides.

$$5x+5-3x=-6$$

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

$$2x+5=-6$$

Subtract 5 from both sides.

$$2x=-6-5$$

Subtract 5 from -6 to get -11.

$$2x=-11$$

Divide both sides by 2.

$$x=\frac{-11}{2}$$

Fraction \frac{-11}{2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$x=-\frac{11}{2}$$