Solve 7(x+6)=3(x+9)

$$7 ( x + 6 ) = 3 ( x + 9 )$$

Solve for x

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x+6.

$$7x+42=3\left(x+9\right)$$

Use the distributive property to multiply 3 by x+9.

$$7x+42=3x+27$$

Subtract 3x from both sides.

$$7x+42-3x=27$$

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

$$4x+42=27$$

Subtract 42 from both sides.

$$4x=27-42$$

Subtract 42 from 27 to get -15.

$$4x=-15$$

Divide both sides by 4.

$$x=\frac{-15}{4}$$

Fraction \frac{-15}{4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$x=-\frac{15}{4}$$