Solve 5x + 7/2 = (3x - 14)/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

$$5x+\frac{7}{2}=\frac{3x-14}{2}$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$10x+7=3x-14$$

Subtract $3x$ from both sides.

$$10x+7-3x=-14$$

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

$$7x+7=-14$$

Subtract $7$ from both sides.

$$7x=-14-7$$

Subtract $7$ from $-14$ to get $-21$.

$$7x=-21$$

Divide both sides by $7$.

$$x=\frac{-21}{7}$$

Divide $-21$ by $7$ to get $-3$.

$$x=-3$$