Solve 2(x - 8) = 3(x + 5) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

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

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2(x-8)=3(x+5)$$

Solve for x

$x=-31$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-8$.

$$2x-16=3\left(x+5\right)$$

Use the distributive property to multiply $3$ by $x+5$.

$$2x-16=3x+15$$

Subtract $3x$ from both sides.

$$2x-16-3x=15$$

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

$$-x-16=15$$

Add $16$ to both sides.

$$-x=15+16$$

Add $15$ and $16$ to get $31$.

$$-x=31$$

Multiply both sides by $-1$.

$$x=-31$$