How to solve 5x+7/2=3x/2-14

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 5x+7/2=3x/2-14 | 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

$$5x+7/2=3x/2-14$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$10x+7=3x-28$$

Subtract $3x$ from both sides.

$$10x+7-3x=-28$$

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

$$7x+7=-28$$

Subtract $7$ from both sides.

$$7x=-28-7$$

Subtract $7$ from $-28$ to get $-35$.

$$7x=-35$$

Divide both sides by $7$.

$$x=\frac{-35}{7}$$

Divide $-35$ by $7$ to get $-5$.

$$x=-5$$

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