Solve 8(x+1.6)=40x

$$8 ( x + 1.6 ) = 40 x$$

Solve for x

$$x=0.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x+1.6.

$$8x+12.8=40x$$

Subtract 40x from both sides.

$$8x+12.8-40x=0$$

Combine 8x and -40x to get -32x.

$$-32x+12.8=0$$

Subtract 12.8 from both sides. Anything subtracted from zero gives its negation.

$$-32x=-12.8$$

Divide both sides by -32.

$$x=\frac{-12.8}{-32}$$

Expand \frac{-12.8}{-32} by multiplying both numerator and the denominator by 10.

$$x=\frac{-128}{-320}$$

Reduce the fraction \frac{-128}{-320} to lowest terms by extracting and canceling out -64.

$$x=\frac{2}{5}$$