Solve (5(x + 12) - 17(2 - x))/(7x - 1) = 8 | 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

$$\frac{5(x+12)-17(2-x)}{7x-1}=8$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{1}{7}$ since division by zero is not defined. Multiply both sides of the equation by $7x-1$.

$$5\left(x+12\right)-17\left(2-x\right)=8\left(7x-1\right)$$

Use the distributive property to multiply $5$ by $x+12$.

$$5x+60-17\left(2-x\right)=8\left(7x-1\right)$$

Use the distributive property to multiply $-17$ by $2-x$.

$$5x+60-34+17x=8\left(7x-1\right)$$

Subtract $34$ from $60$ to get $26$.

$$5x+26+17x=8\left(7x-1\right)$$

Combine $5x$ and $17x$ to get $22x$.

$$22x+26=8\left(7x-1\right)$$

Use the distributive property to multiply $8$ by $7x-1$.

$$22x+26=56x-8$$

Subtract $56x$ from both sides.

$$22x+26-56x=-8$$

Combine $22x$ and $-56x$ to get $-34x$.

$$-34x+26=-8$$

Subtract $26$ from both sides.

$$-34x=-8-26$$

Subtract $26$ from $-8$ to get $-34$.

$$-34x=-34$$

Divide both sides by $-34$.

$$x=\frac{-34}{-34}$$

Divide $-34$ by $-34$ to get $1$.

$$x=1$$