How to solve 9x + 5 = 4(x - 2)

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 9x + 5 = 4(x - 2) | 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

$$9x+5=4(x-2)$$

Solve for x

$x = -\frac{13}{5} = -2\frac{3}{5} = -2.6$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $x-2$.

$$9x+5=4x-8$$

Subtract $4x$ from both sides.

$$9x+5-4x=-8$$

Combine $9x$ and $-4x$ to get $5x$.

$$5x+5=-8$$

Subtract $5$ from both sides.

$$5x=-8-5$$

Subtract $5$ from $-8$ to get $-13$.

$$5x=-13$$

Divide both sides by $5$.

$$x=\frac{-13}{5}$$

Fraction $\frac{-13}{5}$ can be rewritten as $-\frac{13}{5}$ by extracting the negative sign.

$$x=-\frac{13}{5}$$

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