Solve 0.1x+0.4/8+0.3x+1/5=1

$$\frac { 0.1 x + 0.4 } { 8 } + \frac { 0.3 x + 1 } { 5 } = 1$$

Solve for x

$$x = \frac{300}{29} = 10\frac{10}{29} \approx 10.344827586$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 8,5.

$$5\left(0.1x+0.4\right)+8\left(0.3x+1\right)=40$$

Use the distributive property to multiply 5 by 0.1x+0.4.

$$0.5x+2+8\left(0.3x+1\right)=40$$

Use the distributive property to multiply 8 by 0.3x+1.

$$0.5x+2+2.4x+8=40$$

Combine 0.5x and 2.4x to get 2.9x.

$$2.9x+2+8=40$$

Add 2 and 8 to get 10.

$$2.9x+10=40$$

Subtract 10 from both sides.

$$2.9x=40-10$$

Subtract 10 from 40 to get 30.

$$2.9x=30$$

Divide both sides by 2.9.

$$x=\frac{30}{2.9}$$

Expand \frac{30}{2.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{300}{29}$$