Solve (5b)/6 + 1 = (2b)/3 + 4 | 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

$$\frac{5b}{6}+1=\frac{2b}{3}+4$$

Solve for b

$b=18$

Steps for Solving Linear Equation

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

$$5b+6=2\times 2b+24$$

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

$$5b+6=4b+24$$

Subtract $4b$ from both sides.

$$5b+6-4b=24$$

Combine $5b$ and $-4b$ to get $b$.

$$b+6=24$$

Subtract $6$ from both sides.

$$b=24-6$$

Subtract $6$ from $24$ to get $18$.

$$b=18$$