How to solve 12+x+3x=7x+2x+x

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 12+x+3x=7x+2x+x | 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

$$12+x+3x=7x+2x+x$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Combine $x$ and $3x$ to get $4x$.

$$12+4x=7x+2x+x$$

Combine $7x$ and $2x$ to get $9x$.

$$12+4x=9x+x$$

Combine $9x$ and $x$ to get $10x$.

$$12+4x=10x$$

Subtract $10x$ from both sides.

$$12+4x-10x=0$$

Combine $4x$ and $-10x$ to get $-6x$.

$$12-6x=0$$

Subtract $12$ from both sides. Anything subtracted from zero gives its negation.

$$-6x=-12$$

Divide both sides by $-6$.

$$x=\frac{-12}{-6}$$

Divide $-12$ by $-6$ 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