Solve 3P-2/2=15-(15P-3)/3 | 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

$$3P-2/2=15-(15P-3)/3$$

Solve for P

$P = \frac{17}{8} = 2\frac{1}{8} = 2.125$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$18P-3\times 2=90-2\left(15P-3\right)$$

Multiply $-3$ and $2$ to get $-6$.

$$18P-6=90-2\left(15P-3\right)$$

Use the distributive property to multiply $-2$ by $15P-3$.

$$18P-6=90-30P+6$$

Add $90$ and $6$ to get $96$.

$$18P-6=96-30P$$

Add $30P$ to both sides.

$$18P-6+30P=96$$

Combine $18P$ and $30P$ to get $48P$.

$$48P-6=96$$

Add $6$ to both sides.

$$48P=96+6$$

Add $96$ and $6$ to get $102$.

$$48P=102$$

Divide both sides by $48$.

$$P=\frac{102}{48}$$

Reduce the fraction $\frac{102}{48}$ to lowest terms by extracting and canceling out $6$.

$$P=\frac{17}{8}$$