Solve 5(2-3x)=3(2-3x)

$$5 ( 2 - 3 x ) = 3 ( 2 - 3 x )$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

$$10-15x=3\left(2-3x\right)$$

Use the distributive property to multiply 3 by 2-3x.

$$10-15x=6-9x$$

Add 9x to both sides.

$$10-15x+9x=6$$

Combine -15x and 9x to get -6x.

$$10-6x=6$$

Subtract 10 from both sides.

$$-6x=6-10$$

Subtract 10 from 6 to get -4.

$$-6x=-4$$

Divide both sides by -6.

$$x=\frac{-4}{-6}$$

Reduce the fraction \frac{-4}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{2}{3}$$