Solve i) 3x - 2 еч 5 7 (4x)/5 - (3x)/10 = 2 Example | 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

$$\frac { 4 x } { 5 } - \frac { 3 x } { 10 } = 2$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,10$.

$$2\times 4x-3x=20$$

Multiply $2$ and $4$ to get $8$.

$$8x-3x=20$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x=20$$

Divide both sides by $5$.

$$x=\frac{20}{5}$$

Divide $20$ by $5$ to get $4$.

$$x=4$$