How to solve 4z + 3 = 6 + 2z

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 4z + 3 = 6 + 2z | 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

$$4z+3=6+2z$$

Solve for z

$z = \frac{3}{2} = 1\frac{1}{2} = 1.5$

Steps for Solving Linear Equation

Subtract $2z$ from both sides.

$$4z+3-2z=6$$

Combine $4z$ and $-2z$ to get $2z$.

$$2z+3=6$$

Subtract $3$ from both sides.

$$2z=6-3$$

Subtract $3$ from $6$ to get $3$.

$$2z=3$$

Divide both sides by $2$.

$$z=\frac{3}{2}$$

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