How to solve 3x+2=9x-6

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 3x+2=9x-6 | 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

$$3x+2=9x-6$$

Solve for x

$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$

Steps for Solving Linear Equation

Subtract $9x$ from both sides.

$$3x+2-9x=-6$$

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

$$-6x+2=-6$$

Subtract $2$ from both sides.

$$-6x=-6-2$$

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

$$-6x=-8$$

Divide both sides by $-6$.

$$x=\frac{-8}{-6}$$

Reduce the fraction $\frac{-8}{-6}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{4}{3}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps for Solving Linear Equation