Solve 5p - 2[p - 3(p - 5)] = 6 | 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

$$5 p - 2 [ p - 3 ( p - 5 ) ] = 6$$

Solve for p

$p=4$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $p-5$.

$$5p-2\left(p-3p+15\right)=6$$

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

$$5p-2\left(-2p+15\right)=6$$

Use the distributive property to multiply $-2$ by $-2p+15$.

$$5p+4p-30=6$$

Combine $5p$ and $4p$ to get $9p$.

$$9p-30=6$$

Add $30$ to both sides.

$$9p=6+30$$

Add $6$ and $30$ to get $36$.

$$9p=36$$

Divide both sides by $9$.

$$p=\frac{36}{9}$$

Divide $36$ by $9$ to get $4$.

$$p=4$$