How to solve 4(a-3)+2(2a-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 4(a-3)+2(2a-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

$$4(a-3)+2(2a-7)$$

Evaluate

$8a-26$

Solution Steps

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

$$4a-12+2\left(2a-7\right)$$

Use the distributive property to multiply $2$ by $2a-7$.

$$4a-12+4a-14$$

Combine $4a$ and $4a$ to get $8a$.

$$8a-12-14$$

Subtract $14$ from $-12$ to get $-26$.

$$8a-26$$

Show Solution

Expand

$8a-26$

Solution Steps

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

$$4a-12+2\left(2a-7\right)$$

Use the distributive property to multiply $2$ by $2a-7$.

$$4a-12+4a-14$$

Combine $4a$ and $4a$ to get $8a$.

$$8a-12-14$$

Subtract $14$ from $-12$ to get $-26$.

$$8a-26$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps