Solve 12m - 3 = 5(2m + 1) | 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

$$12m-3=5(2m+1)$$

Solve for m

$m=4$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $2m+1$.

$$12m-3=10m+5$$

Subtract $10m$ from both sides.

$$12m-3-10m=5$$

Combine $12m$ and $-10m$ to get $2m$.

$$2m-3=5$$

Add $3$ to both sides.

$$2m=5+3$$

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

$$2m=8$$

Divide both sides by $2$.

$$m=\frac{8}{2}$$

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

$$m=4$$