Solve निम्नलिखित समी ( 1) (4x + 18)/(5x) = 2; 7m + 6 | 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

$$\frac { 4 x + 18 } { 5 x } = 2$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $5x$.

$$4x+18=10x$$

Subtract $10x$ from both sides.

$$4x+18-10x=0$$

Combine $4x$ and $-10x$ to get $-6x$.

$$-6x+18=0$$

Subtract $18$ from both sides. Anything subtracted from zero gives its negation.

$$-6x=-18$$

Divide both sides by $-6$.

$$x=\frac{-18}{-6}$$

Divide $-18$ by $-6$ to get $3$.

$$x=3$$