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

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

Solve for x

$x=-5$

Steps for Solving Linear Equation

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

$$2\times 2x+3=3x-2$$

Multiply $2$ and $2$ to get $4$.

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

Subtract $3x$ from both sides.

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

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

$$x+3=-2$$

Subtract $3$ from both sides.

$$x=-2-3$$

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

$$x=-5$$