How to solve 5X-3=10X-6

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-3=10X-6 | 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

$$5X-3=10X-6$$

Solve for X

$X=\frac{3}{5}=0.6$

Steps for Solving Linear Equation

Subtract $10X$ from both sides.

$$5X-3-10X=-6$$

Combine $5X$ and $-10X$ to get $-5X$.

$$-5X-3=-6$$

Add $3$ to both sides.

$$-5X=-6+3$$

Add $-6$ and $3$ to get $-3$.

$$-5X=-3$$

Divide both sides by $-5$.

$$X=\frac{-3}{-5}$$

Fraction $\frac{-3}{-5}$ can be simplified to $\frac{3}{5}$ by removing the negative sign from both the numerator and the denominator.

$$X=\frac{3}{5}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for X

Steps for Solving Linear Equation