How to solve 3x-5=-(x-3)

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 3x-5=-(x-3) | 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

$$3x-5=-(x-3)$$

Solve for x

$x=2$

Steps for Solving Linear Equation

To find the opposite of $x-3$, find the opposite of each term.

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

The opposite of $-3$ is $3$.

$$3x-5=-x+3$$

Add $x$ to both sides.

$$3x-5+x=3$$

Combine $3x$ and $x$ to get $4x$.

$$4x-5=3$$

Add $5$ to both sides.

$$4x=3+5$$

Add $3$ and $5$ to get $8$.

$$4x=8$$

Divide both sides by $4$.

$$x=\frac{8}{4}$$

Divide $8$ by $4$ to get $2$.

$$x=2$$

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