Solve (x + 3)/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

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

Solve for x

$x=-13$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply $3$ by $x+3$.

$$3x+9=2\left(x-2\right)$$

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

$$3x+9=2x-4$$

Subtract $2x$ from both sides.

$$3x+9-2x=-4$$

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

$$x+9=-4$$

Subtract $9$ from both sides.

$$x=-4-9$$

Subtract $9$ from $-4$ to get $-13$.

$$x=-13$$