Solve -7 > 6x+5 | 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

$$-7 > 6x+5$$

Solve for x

$x<-2$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$6x+5<-7$$

Subtract $5$ from both sides.

$$6x<-7-5$$

Subtract $5$ from $-7$ to get $-12$.

$$6x<-12$$

Divide both sides by $6$. Since $6$ is positive, the inequality direction remains the same.

$$x<\frac{-12}{6}$$

Divide $-12$ by $6$ to get $-2$.

$$x<-2$$