Solve (3x+2)(4.5)=(2x)(7.5)

$$(3x+2)(4.5)=(2x)(7.5)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3x+2 by 4.5.

$$13.5x+9=2x\times 7.5$$

Multiply 2 and 7.5 to get 15.

$$13.5x+9=15x$$

Subtract 15x from both sides.

$$13.5x+9-15x=0$$

Combine 13.5x and -15x to get -1.5x.

$$-1.5x+9=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-1.5x=-9$$

Divide both sides by -1.5.

$$x=\frac{-9}{-1.5}$$

Expand \frac{-9}{-1.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-90}{-15}$$

Divide -90 by -15 to get 6.

$$x=6$$