Solve 5(x - 1) + 2(x + 3) + 6 = 0 | 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

$$5(x-1)+2(x+3)+6=0$$

Solve for x

$x=-1$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $x-1$.

$$5x-5+2\left(x+3\right)+6=0$$

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

$$5x-5+2x+6+6=0$$

Combine $5x$ and $2x$ to get $7x$.

$$7x-5+6+6=0$$

Add $-5$ and $6$ to get $1$.

$$7x+1+6=0$$

Add $1$ and $6$ to get $7$.

$$7x+7=0$$

Subtract $7$ from both sides. Anything subtracted from zero gives its negation.

$$7x=-7$$

Divide both sides by $7$.

$$x=\frac{-7}{7}$$

Divide $-7$ by $7$ to get $-1$.

$$x=-1$$