How to solve 2a-5=6a+10

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 2a-5=6a+10 | 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

$$2a-5=6a+10$$

Solve for a

$a = -\frac{15}{4} = -3\frac{3}{4} = -3.75$

Steps for Solving Linear Equation

Subtract $6a$ from both sides.

$$2a-5-6a=10$$

Combine $2a$ and $-6a$ to get $-4a$.

$$-4a-5=10$$

Add $5$ to both sides.

$$-4a=10+5$$

Add $10$ and $5$ to get $15$.

$$-4a=15$$

Divide both sides by $-4$.

$$a=\frac{15}{-4}$$

Fraction $\frac{15}{-4}$ can be rewritten as $-\frac{15}{4}$ by extracting the negative sign.

$$a=-\frac{15}{4}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for a

Steps for Solving Linear Equation