Solve 6(3x-2)=3(x+5)

$$6(3x-2)=3(x+5)$$

Solve for x

$$x = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3x-2.

$$18x-12=3\left(x+5\right)$$

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

$$18x-12=3x+15$$

Subtract 3x from both sides.

$$18x-12-3x=15$$

Combine 18x and -3x to get 15x.

$$15x-12=15$$

Add 12 to both sides.

$$15x=15+12$$

Add 15 and 12 to get 27.

$$15x=27$$

Divide both sides by 15.

$$x=\frac{27}{15}$$

Reduce the fraction \frac{27}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{5}$$