How to solve 2(4x-3)+5(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 2(4x-3)+5(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

$$2(4x-3)+5(x+2)$$

Evaluate

$13x+4$

Solution Steps

Use the distributive property to multiply $2$ by $4x-3$.

$$8x-6+5\left(x+2\right)$$

Use the distributive property to multiply $5$ by $x+2$.

$$8x-6+5x+10$$

Combine $8x$ and $5x$ to get $13x$.

$$13x-6+10$$

Add $-6$ and $10$ to get $4$.

$$13x+4$$

Show Solution

Expand

$13x+4$

Solution Steps

Use the distributive property to multiply $2$ by $4x-3$.

$$8x-6+5\left(x+2\right)$$

Use the distributive property to multiply $5$ by $x+2$.

$$8x-6+5x+10$$

Combine $8x$ and $5x$ to get $13x$.

$$13x-6+10$$

Add $-6$ and $10$ to get $4$.

$$13x+4$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps