Solve டம்ளர் - 7(4 + m) = - 3m + 5 L | 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

$$- 7 ( 4 + m ) = - 3 m + 5$$

Solve for m

$m = -\frac{33}{4} = -8\frac{1}{4} = -8.25$

Steps for Solving Linear Equation

Use the distributive property to multiply $-7$ by $4+m$.

$$-28-7m=-3m+5$$

Add $3m$ to both sides.

$$-28-7m+3m=5$$

Combine $-7m$ and $3m$ to get $-4m$.

$$-28-4m=5$$

Add $28$ to both sides.

$$-4m=5+28$$

Add $5$ and $28$ to get $33$.

$$-4m=33$$

Divide both sides by $-4$.

$$m=\frac{33}{-4}$$

Fraction $\frac{33}{-4}$ can be rewritten as $-\frac{33}{4}$ by extracting the negative sign.

$$m=-\frac{33}{4}$$