Solve 0.4(x+3)=2(x-5)

$$0.4 ( x + 3 ) = 2 ( x - 5 )$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x+3.

$$0.4x+1.2=2\left(x-5\right)$$

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

$$0.4x+1.2=2x-10$$

Subtract 2x from both sides.

$$0.4x+1.2-2x=-10$$

Combine 0.4x and -2x to get -1.6x.

$$-1.6x+1.2=-10$$

Subtract 1.2 from both sides.

$$-1.6x=-10-1.2$$

Subtract 1.2 from -10 to get -11.2.

$$-1.6x=-11.2$$

Divide both sides by -1.6.

$$x=\frac{-11.2}{-1.6}$$

Expand \frac{-11.2}{-1.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-112}{-16}$$

Divide -112 by -16 to get 7.

$$x=7$$