Solve Solve: ( i) 0.3(6 + m) = 0.5(8 - m) | 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

$$\left. \begin{array} { l } { 0.3 ( 6 + m ) = 0.5 ( 8 - m ) } \end{array} \right.$$

Solve for m

$m=2.75$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.3$ by $6+m$.

$$1.8+0.3m=0.5\left(8-m\right)$$

Use the distributive property to multiply $0.5$ by $8-m$.

$$1.8+0.3m=4-0.5m$$

Add $0.5m$ to both sides.

$$1.8+0.3m+0.5m=4$$

Combine $0.3m$ and $0.5m$ to get $0.8m$.

$$1.8+0.8m=4$$

Subtract $1.8$ from both sides.

$$0.8m=4-1.8$$

Subtract $1.8$ from $4$ to get $2.2$.

$$0.8m=2.2$$

Divide both sides by $0.8$.

$$m=\frac{2.2}{0.8}$$

Expand $\frac{2.2}{0.8}$ by multiplying both numerator and the denominator by $10$.

$$m=\frac{22}{8}$$

Reduce the fraction $\frac{22}{8}$ to lowest terms by extracting and canceling out $2$.

$$m=\frac{11}{4}$$