Solve (2x - 1)/5 = (3x - 2)/7 | 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

$$\frac{2x-1}{5}=\frac{3x-2}{7}$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

$$7\left(2x-1\right)=5\left(3x-2\right)$$

Use the distributive property to multiply $7$ by $2x-1$.

$$14x-7=5\left(3x-2\right)$$

Use the distributive property to multiply $5$ by $3x-2$.

$$14x-7=15x-10$$

Subtract $15x$ from both sides.

$$14x-7-15x=-10$$

Combine $14x$ and $-15x$ to get $-x$.

$$-x-7=-10$$

Add $7$ to both sides.

$$-x=-10+7$$

Add $-10$ and $7$ to get $-3$.

$$-x=-3$$

Multiply both sides by $-1$.

$$x=3$$