How to solve -5x+18 >= 10x-12

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve -5x+18 >= 10x-12 | Equatix

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

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-5x+18 \geq 10x-12$$

Solve for x

$x\leq 2$

Solution Steps

Subtract $10x$ from both sides.

$$-5x+18-10x\geq -12$$

Combine $-5x$ and $-10x$ to get $-15x$.

$$-15x+18\geq -12$$

Subtract $18$ from both sides.

$$-15x\geq -12-18$$

Subtract $18$ from $-12$ to get $-30$.

$$-15x\geq -30$$

Divide both sides by $-15$. Since $-15$ is negative, the inequality direction is changed.

$$x\leq \frac{-30}{-15}$$

Divide $-30$ by $-15$ to get $2$.

$$x\leq 2$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Solution Steps