Solve m/4 - 1/2 = m/3 + 1 . | 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

$$\frac { m } { 4 } - \frac { 1 } { 2 } = \frac { m } { 3 } + 1$$

Solve for m

$m=-18$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,2,3$.

$$3m-6=4m+12$$

Subtract $4m$ from both sides.

$$3m-6-4m=12$$

Combine $3m$ and $-4m$ to get $-m$.

$$-m-6=12$$

Add $6$ to both sides.

$$-m=12+6$$

Add $12$ and $6$ to get $18$.

$$-m=18$$

Multiply both sides by $-1$.

$$m=-18$$