Solve x - 1 = (x - 1)/2 - (x - 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

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

Solve for x

$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$

Steps for Solving Linear Equation

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

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

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

$$6x-6=3x-3-2\left(x-2\right)$$

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

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

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

$$6x-6=x-3+4$$

Add $-3$ and $4$ to get $1$.

$$6x-6=x+1$$

Subtract $x$ from both sides.

$$6x-6-x=1$$

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

$$5x-6=1$$

Add $6$ to both sides.

$$5x=1+6$$

Add $1$ and $6$ to get $7$.

$$5x=7$$

Divide both sides by $5$.

$$x=\frac{7}{5}$$