Solve 2 - 3x = (x - 12)/2 | 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

$$2-3x=\frac{x-12}{2}$$

Solve for x

$x = \frac{16}{7} = 2\frac{2}{7} \approx 2.285714286$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$4-6x=x-12$$

Subtract $x$ from both sides.

$$4-6x-x=-12$$

Combine $-6x$ and $-x$ to get $-7x$.

$$4-7x=-12$$

Subtract $4$ from both sides.

$$-7x=-12-4$$

Subtract $4$ from $-12$ to get $-16$.

$$-7x=-16$$

Divide both sides by $-7$.

$$x=\frac{-16}{-7}$$

Fraction $\frac{-16}{-7}$ can be simplified to $\frac{16}{7}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{7}$$