Solve h/2 - (3h)/4 + (5h)/6 = 21 | 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

$$\frac{h}{2}-\frac{3h}{4}+\frac{5h}{6}=21$$

Solve for h

$h=36$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $2,4,6$.

$$6h-3\times 3h+2\times 5h=252$$

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

$$6h-9h+2\times 5h=252$$

Combine $6h$ and $-9h$ to get $-3h$.

$$-3h+2\times 5h=252$$

Multiply $2$ and $5$ to get $10$.

$$-3h+10h=252$$

Combine $-3h$ and $10h$ to get $7h$.

$$7h=252$$

Divide both sides by $7$.

$$h=\frac{252}{7}$$

Divide $252$ by $7$ to get $36$.

$$h=36$$