Solve equivalent expression without brackets an - 3(p + 2) + 5(2p - 2) | 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

$$- 3 ( p + 2 ) + 5 ( 2 p - 2 )$$

Evaluate

$7p-16$

Solution Steps

Use the distributive property to multiply $-3$ by $p+2$.

$$-3p-6+5\left(2p-2\right)$$

Use the distributive property to multiply $5$ by $2p-2$.

$$-3p-6+10p-10$$

Combine $-3p$ and $10p$ to get $7p$.

$$7p-6-10$$

Subtract $10$ from $-6$ to get $-16$.

$$7p-16$$

Expand

$7p-16$

Solution Steps

Use the distributive property to multiply $-3$ by $p+2$.

$$-3p-6+5\left(2p-2\right)$$

Use the distributive property to multiply $5$ by $2p-2$.

$$-3p-6+10p-10$$

Combine $-3p$ and $10p$ to get $7p$.

$$7p-6-10$$

Subtract $10$ from $-6$ to get $-16$.

$$7p-16$$