How to solve 5t - 3 = 3t - 5

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 5t - 3 = 3t - 5 | 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

$$5t-3=3t-5$$

Solve for t

$t=-1$

Steps for Solving Linear Equation

Subtract $3t$ from both sides.

$$5t-3-3t=-5$$

Combine $5t$ and $-3t$ to get $2t$.

$$2t-3=-5$$

Add $3$ to both sides.

$$2t=-5+3$$

Add $-5$ and $3$ to get $-2$.

$$2t=-2$$

Divide both sides by $2$.

$$t=\frac{-2}{2}$$

Divide $-2$ by $2$ to get $-1$.

$$t=-1$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for t

Steps for Solving Linear Equation