Solve (3x)/4 - (2x + 5)/3 = 5/2 | 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

$$\frac{3x}{4}-\frac{2x+5}{3}=\frac{5}{2}$$

Solve for x

$x=50$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,3,2$.

$$3\times 3x-4\left(2x+5\right)=30$$

Multiply $3$ and $3$ to get $9$.

$$9x-4\left(2x+5\right)=30$$

Use the distributive property to multiply $-4$ by $2x+5$.

$$9x-8x-20=30$$

Combine $9x$ and $-8x$ to get $x$.

$$x-20=30$$

Add $20$ to both sides.

$$x=30+20$$

Add $30$ and $20$ to get $50$.

$$x=50$$