How to solve (3w)/16 - 1 = 1/2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (3w)/16 - 1 = 1/2 | Equatix

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

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{3w}{16}-1=\frac{1}{2}$$

Solve for w

$w=8$

Steps for Solving Linear Equation

Multiply both sides of the equation by $16$, the least common multiple of $16,2$.

$$3w-16=8$$

Add $16$ to both sides.

$$3w=8+16$$

Add $8$ and $16$ to get $24$.

$$3w=24$$

Divide both sides by $3$.

$$w=\frac{24}{3}$$

Divide $24$ by $3$ to get $8$.

$$w=8$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for w

Steps for Solving Linear Equation