Solve 9(x-1)=11(x+4)

$$9(x-1)=11(x+4)$$

Solve for x

$$x = -\frac{53}{2} = -26\frac{1}{2} = -26.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x-1.

$$9x-9=11\left(x+4\right)$$

Use the distributive property to multiply 11 by x+4.

$$9x-9=11x+44$$

Subtract 11x from both sides.

$$9x-9-11x=44$$

Combine 9x and -11x to get -2x.

$$-2x-9=44$$

Add 9 to both sides.

$$-2x=44+9$$

Add 44 and 9 to get 53.

$$-2x=53$$

Divide both sides by -2.

$$x=\frac{53}{-2}$$

Fraction \frac{53}{-2} can be rewritten as -\frac{53}{2} by extracting the negative sign.

$$x=-\frac{53}{2}$$