Solve (1)/(3)=4/x-1/6 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 1 }{ 3 } =4/x-1/6$$

Solve for x

$x=8$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $6x$, the least common multiple of $3,x,6$.

$$2x=6\times 4+6x\left(-\frac{1}{6}\right)$$

Multiply $6$ and $4$ to get $24$.

$$2x=24+6x\left(-\frac{1}{6}\right)$$

Cancel out $6$ and $6$.

$$2x=24-x$$

Add $x$ to both sides.

$$2x+x=24$$

Combine $2x$ and $x$ to get $3x$.

$$3x=24$$

Divide both sides by $3$.

$$x=\frac{24}{3}$$

Divide $24$ by $3$ to get $8$.

$$x=8$$