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

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

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 $-7x+1$.

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

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

$$34-17x-5\left(x+12\right)=8\left(-7x+1\right)$$

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

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

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

$$34-22x-60=8\left(-7x+1\right)$$

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

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

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

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

Add $56x$ to both sides.

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

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

$$-26+34x=8$$

Add $26$ to both sides.

$$34x=8+26$$

Add $8$ and $26$ to get $34$.

$$34x=34$$

Divide both sides by $34$.

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

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

$$x=1$$