Solve 5div(x+1)=0.2

$$5 \div ( x + 1 ) = 0.2$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$5=0.2\left(x+1\right)$$

Use the distributive property to multiply 0.2 by x+1.

$$5=0.2x+0.2$$

Swap sides so that all variable terms are on the left hand side.

$$0.2x+0.2=5$$

Subtract 0.2 from both sides.

$$0.2x=5-0.2$$

Subtract 0.2 from 5 to get 4.8.

$$0.2x=4.8$$

Divide both sides by 0.2.

$$x=\frac{4.8}{0.2}$$

Expand \frac{4.8}{0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{48}{2}$$

Divide 48 by 2 to get 24.

$$x=24$$