Solve (a) ( ( b) 5 - 3x = - 6(x + 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

$$5 - 3 x = - 6 ( x + 2 )$$

Solve for x

$x = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $-6$ by $x+2$.

$$5-3x=-6x-12$$

Add $6x$ to both sides.

$$5-3x+6x=-12$$

Combine $-3x$ and $6x$ to get $3x$.

$$5+3x=-12$$

Subtract $5$ from both sides.

$$3x=-12-5$$

Subtract $5$ from $-12$ to get $-17$.

$$3x=-17$$

Divide both sides by $3$.

$$x=\frac{-17}{3}$$

Fraction $\frac{-17}{3}$ can be rewritten as $-\frac{17}{3}$ by extracting the negative sign.

$$x=-\frac{17}{3}$$