Solve (3x + 1)/2 - 4 = (2x - 1)/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

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

Solve for x

$x=5$

Steps for Solving Linear Equation

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

$$3\left(3x+1\right)-24=2\left(2x-1\right)+6$$

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

$$9x+3-24=2\left(2x-1\right)+6$$

Subtract $24$ from $3$ to get $-21$.

$$9x-21=2\left(2x-1\right)+6$$

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

$$9x-21=4x-2+6$$

Add $-2$ and $6$ to get $4$.

$$9x-21=4x+4$$

Subtract $4x$ from both sides.

$$9x-21-4x=4$$

Combine $9x$ and $-4x$ to get $5x$.

$$5x-21=4$$

Add $21$ to both sides.

$$5x=4+21$$

Add $4$ and $21$ to get $25$.

$$5x=25$$

Divide both sides by $5$.

$$x=\frac{25}{5}$$

Divide $25$ by $5$ to get $5$.

$$x=5$$