Solve 5(2x+3)=3(5x+9)

$$5(2x+3)=3(5x+9)$$

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x+3.

$$10x+15=3\left(5x+9\right)$$

Use the distributive property to multiply 3 by 5x+9.

$$10x+15=15x+27$$

Subtract 15x from both sides.

$$10x+15-15x=27$$

Combine 10x and -15x to get -5x.

$$-5x+15=27$$

Subtract 15 from both sides.

$$-5x=27-15$$

Subtract 15 from 27 to get 12.

$$-5x=12$$

Divide both sides by -5.

$$x=\frac{12}{-5}$$

Fraction \frac{12}{-5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$x=-\frac{12}{5}$$