Solve 2(0.3x+5)=5(0.2x-6)

$$2 ( 0.3 x + 5 ) = 5 ( 0.2 x - 6 )$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 0.3x+5.

$$0.6x+10=5\left(0.2x-6\right)$$

Use the distributive property to multiply 5 by 0.2x-6.

$$0.6x+10=x-30$$

Subtract x from both sides.

$$0.6x+10-x=-30$$

Combine 0.6x and -x to get -0.4x.

$$-0.4x+10=-30$$

Subtract 10 from both sides.

$$-0.4x=-30-10$$

Subtract 10 from -30 to get -40.

$$-0.4x=-40$$

Divide both sides by -0.4.

$$x=\frac{-40}{-0.4}$$

Expand \frac{-40}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-400}{-4}$$

Divide -400 by -4 to get 100.

$$x=100$$