Solve x/2 - 1/5 = x + 1/4 | 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

$$\frac{x}{2}-\frac{1}{5}=x+\frac{1}{4}$$

Solve for x

$x=-\frac{9}{10}=-0.9$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $2,5,4$.

$$10x-4=20x+5$$

Subtract $20x$ from both sides.

$$10x-4-20x=5$$

Combine $10x$ and $-20x$ to get $-10x$.

$$-10x-4=5$$

Add $4$ to both sides.

$$-10x=5+4$$

Add $5$ and $4$ to get $9$.

$$-10x=9$$

Divide both sides by $-10$.

$$x=\frac{9}{-10}$$

Fraction $\frac{9}{-10}$ can be rewritten as $-\frac{9}{10}$ by extracting the negative sign.

$$x=-\frac{9}{10}$$