Solve (5(x + 6) - 15(2 - x))/(3x - 1) = 10 | 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

$$\frac{5(x+6)-15(2-x)}{3x-1}=10$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{1}{3}$ since division by zero is not defined. Multiply both sides of the equation by $3x-1$.

$$5\left(x+6\right)-15\left(2-x\right)=10\left(3x-1\right)$$

Use the distributive property to multiply $5$ by $x+6$.

$$5x+30-15\left(2-x\right)=10\left(3x-1\right)$$

Use the distributive property to multiply $-15$ by $2-x$.

$$5x+30-30+15x=10\left(3x-1\right)$$

Subtract $30$ from $30$ to get $0$.

$$5x+15x=10\left(3x-1\right)$$

Combine $5x$ and $15x$ to get $20x$.

$$20x=10\left(3x-1\right)$$

Use the distributive property to multiply $10$ by $3x-1$.

$$20x=30x-10$$

Subtract $30x$ from both sides.

$$20x-30x=-10$$

Combine $20x$ and $-30x$ to get $-10x$.

$$-10x=-10$$

Divide both sides by $-10$.

$$x=\frac{-10}{-10}$$

Divide $-10$ by $-10$ to get $1$.

$$x=1$$