How to solve 3(x.1)=(6x-1)/(2)

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 3(x.1)=(6x-1)/(2) | 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

$$3(x.1)= \frac{ 6x-1 }{ 2 }$$

Solve for x

$x=\frac{5}{27}\approx 0.185185185$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$6x\times 0.1=6x-1$$

Multiply $6$ and $0.1$ to get $0.6$.

$$0.6x=6x-1$$

Subtract $6x$ from both sides.

$$0.6x-6x=-1$$

Combine $0.6x$ and $-6x$ to get $-5.4x$.

$$-5.4x=-1$$

Divide both sides by $-5.4$.

$$x=\frac{-1}{-5.4}$$

Expand $\frac{-1}{-5.4}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{-10}{-54}$$

Reduce the fraction $\frac{-10}{-54}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{5}{27}$$

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