Solve e Earth 17 - 3(x - 5) = 2 - 13x | 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

$$17 - 3 ( x - 5 ) = 2 - 13 x$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

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

$$17-3x+15=2-13x$$

Add $17$ and $15$ to get $32$.

$$32-3x=2-13x$$

Add $13x$ to both sides.

$$32-3x+13x=2$$

Combine $-3x$ and $13x$ to get $10x$.

$$32+10x=2$$

Subtract $32$ from both sides.

$$10x=2-32$$

Subtract $32$ from $2$ to get $-30$.

$$10x=-30$$

Divide both sides by $10$.

$$x=\frac{-30}{10}$$

Divide $-30$ by $10$ to get $-3$.

$$x=-3$$