Solve xi ) (7x - 2)/(2x + 2) = 4 | 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

$$\frac { 7 x - 2 } { 2 x + 2 } = 4$$

Solve for x

$x=-10$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-1$ since division by zero is not defined. Multiply both sides of the equation by $2\left(x+1\right)$.

$$7x-2=8\left(x+1\right)$$

Use the distributive property to multiply $8$ by $x+1$.

$$7x-2=8x+8$$

Subtract $8x$ from both sides.

$$7x-2-8x=8$$

Combine $7x$ and $-8x$ to get $-x$.

$$-x-2=8$$

Add $2$ to both sides.

$$-x=8+2$$

Add $8$ and $2$ to get $10$.

$$-x=10$$

Multiply both sides by $-1$.

$$x=-10$$