Solve - (m - 1)/2 = 1 - (m - 2)/3 | 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

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

Solve for m

$m=-7$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$-3\left(m-1\right)=6-2\left(m-2\right)$$

Use the distributive property to multiply $-3$ by $m-1$.

$$-3m+3=6-2\left(m-2\right)$$

Use the distributive property to multiply $-2$ by $m-2$.

$$-3m+3=6-2m+4$$

Add $6$ and $4$ to get $10$.

$$-3m+3=10-2m$$

Add $2m$ to both sides.

$$-3m+3+2m=10$$

Combine $-3m$ and $2m$ to get $-m$.

$$-m+3=10$$

Subtract $3$ from both sides.

$$-m=10-3$$

Subtract $3$ from $10$ to get $7$.

$$-m=7$$

Multiply both sides by $-1$.

$$m=-7$$