How to solve 5x + 9 = 3x - 7

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 5x + 9 = 3x - 7 | 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

$$5x+9=3x-7$$

Solve for x

$x=-8$

Steps for Solving Linear Equation

Subtract $3x$ from both sides.

$$5x+9-3x=-7$$

Combine $5x$ and $-3x$ to get $2x$.

$$2x+9=-7$$

Subtract $9$ from both sides.

$$2x=-7-9$$

Subtract $9$ from $-7$ to get $-16$.

$$2x=-16$$

Divide both sides by $2$.

$$x=\frac{-16}{2}$$

Divide $-16$ by $2$ to get $-8$.

$$x=-8$$

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