How to solve 3x - 2 = 8x - 12

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 = 8x - 12 | 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

$$3x-2=8x-12$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Subtract $8x$ from both sides.

$$3x-2-8x=-12$$

Combine $3x$ and $-8x$ to get $-5x$.

$$-5x-2=-12$$

Add $2$ to both sides.

$$-5x=-12+2$$

Add $-12$ and $2$ to get $-10$.

$$-5x=-10$$

Divide both sides by $-5$.

$$x=\frac{-10}{-5}$$

Divide $-10$ by $-5$ to get $2$.

$$x=2$$

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