How to solve 3z + 8 = z + 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 3z + 8 = z + 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

$$3z+8=z+2$$

Solve for z

$z=-3$

Steps for Solving Linear Equation

Subtract $z$ from both sides.

$$3z+8-z=2$$

Combine $3z$ and $-z$ to get $2z$.

$$2z+8=2$$

Subtract $8$ from both sides.

$$2z=2-8$$

Subtract $8$ from $2$ to get $-6$.

$$2z=-6$$

Divide both sides by $2$.

$$z=\frac{-6}{2}$$

Divide $-6$ by $2$ to get $-3$.

$$z=-3$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for z

Steps for Solving Linear Equation