Solve 7(x+9)=4(x-8)

$$7 ( x + 9 ) = 4 ( x - 8 )$$

Solve for x

$$x = -\frac{95}{3} = -31\frac{2}{3} \approx -31.666666667$$

Steps for Solving Linear Equation

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

$$7x+63=4\left(x-8\right)$$

Use the distributive property to multiply 4 by x-8.

$$7x+63=4x-32$$

Subtract 4x from both sides.

$$7x+63-4x=-32$$

Combine 7x and -4x to get 3x.

$$3x+63=-32$$

Subtract 63 from both sides.

$$3x=-32-63$$

Subtract 63 from -32 to get -95.

$$3x=-95$$

Divide both sides by 3.

$$x=\frac{-95}{3}$$

Fraction \frac{-95}{3} can be rewritten as -\frac{95}{3} by extracting the negative sign.

$$x=-\frac{95}{3}$$