How to solve (8x)/5 + 3 = 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 (8x)/5 + 3 = 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

$$\frac{8x}{5}+3=x$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Subtract $x$ from both sides.

$$\frac{8x}{5}+3-x=0$$

Subtract $3$ from both sides. Anything subtracted from zero gives its negation.

$$\frac{8x}{5}-x=-3$$

Multiply both sides of the equation by $5$.

$$8x-5x=-15$$

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

$$3x=-15$$

Divide both sides by $3$.

$$x=\frac{-15}{3}$$

Divide $-15$ by $3$ to get $-5$.

$$x=-5$$

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