Solve 7(x+9)=5(x-2)

$$7 ( x + 9 ) = 5 ( x - 2 )$$

Solve for x

$$x = -\frac{73}{2} = -36\frac{1}{2} = -36.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x+9.

$$7x+63=5\left(x-2\right)$$

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

$$7x+63=5x-10$$

Subtract 5x from both sides.

$$7x+63-5x=-10$$

Combine 7x and -5x to get 2x.

$$2x+63=-10$$

Subtract 63 from both sides.

$$2x=-10-63$$

Subtract 63 from -10 to get -73.

$$2x=-73$$

Divide both sides by 2.

$$x=\frac{-73}{2}$$

Fraction \frac{-73}{2} can be rewritten as -\frac{73}{2} by extracting the negative sign.

$$x=-\frac{73}{2}$$