Solve x/6 - (2x)/7 = 1/21 + x/7 | 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

$$\frac{x}{6}-\frac{2x}{7}=\frac{1}{21}+\frac{x}{7}$$

Solve for x

$x=-\frac{2}{11}\approx -0.181818182$

Steps for Solving Linear Equation

Multiply both sides of the equation by $42$, the least common multiple of $6,7,21$.

$$7x-6\times 2x=2+6x$$

Multiply $-6$ and $2$ to get $-12$.

$$7x-12x=2+6x$$

Combine $7x$ and $-12x$ to get $-5x$.

$$-5x=2+6x$$

Subtract $6x$ from both sides.

$$-5x-6x=2$$

Combine $-5x$ and $-6x$ to get $-11x$.

$$-11x=2$$

Divide both sides by $-11$.

$$x=\frac{2}{-11}$$

Fraction $\frac{2}{-11}$ can be rewritten as $-\frac{2}{11}$ by extracting the negative sign.

$$x=-\frac{2}{11}$$