Solve 2.4-x/10+3x=0.1

$$\frac { 2.4 - x } { 10 + 3 x } = 0.1$$

Solve for x

$$x = \frac{14}{13} = 1\frac{1}{13} \approx 1.076923077$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{10}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+10.

$$2.4-x=0.1\left(3x+10\right)$$

Use the distributive property to multiply 0.1 by 3x+10.

$$2.4-x=0.3x+1$$

Subtract 0.3x from both sides.

$$2.4-x-0.3x=1$$

Combine -x and -0.3x to get -1.3x.

$$2.4-1.3x=1$$

Subtract 2.4 from both sides.

$$-1.3x=1-2.4$$

Subtract 2.4 from 1 to get -1.4.

$$-1.3x=-1.4$$

Divide both sides by -1.3.

$$x=\frac{-1.4}{-1.3}$$

Expand \frac{-1.4}{-1.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{-14}{-13}$$

Fraction \frac{-14}{-13} can be simplified to \frac{14}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{13}$$