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

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

Solve for x

$x=5$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply $2$ by $2x-1$.

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

Subtract $4x$ from both sides.

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

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

$$-x+3=-2$$

Subtract $3$ from both sides.

$$-x=-2-3$$

Subtract $3$ from $-2$ to get $-5$.

$$-x=-5$$

Multiply both sides by $-1$.

$$x=5$$