Solve ) (2x + 2)/6 = (3x - 3)/30 | 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

$$\frac { 2 x + 2 } { 6 } = \frac { 3 x - 3 } { 30 }$$

Solve for x

$x = -\frac{13}{7} = -1\frac{6}{7} \approx -1.857142857$

Steps for Solving Linear Equation

Multiply both sides of the equation by $30$, the least common multiple of $6,30$.

$$5\left(2x+2\right)=3x-3$$

Use the distributive property to multiply $5$ by $2x+2$.

$$10x+10=3x-3$$

Subtract $3x$ from both sides.

$$10x+10-3x=-3$$

Combine $10x$ and $-3x$ to get $7x$.

$$7x+10=-3$$

Subtract $10$ from both sides.

$$7x=-3-10$$

Subtract $10$ from $-3$ to get $-13$.

$$7x=-13$$

Divide both sides by $7$.

$$x=\frac{-13}{7}$$

Fraction $\frac{-13}{7}$ can be rewritten as $-\frac{13}{7}$ by extracting the negative sign.

$$x=-\frac{13}{7}$$