Solve 3(5x-7)-4(8x-13)=2(9x-11)-17 | 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

$$3(5x-7)-4(8x-13)=2(9x-11)-17$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $5x-7$.

$$15x-21-4\left(8x-13\right)=2\left(9x-11\right)-17$$

Use the distributive property to multiply $-4$ by $8x-13$.

$$15x-21-32x+52=2\left(9x-11\right)-17$$

Combine $15x$ and $-32x$ to get $-17x$.

$$-17x-21+52=2\left(9x-11\right)-17$$

Add $-21$ and $52$ to get $31$.

$$-17x+31=2\left(9x-11\right)-17$$

Use the distributive property to multiply $2$ by $9x-11$.

$$-17x+31=18x-22-17$$

Subtract $17$ from $-22$ to get $-39$.

$$-17x+31=18x-39$$

Subtract $18x$ from both sides.

$$-17x+31-18x=-39$$

Combine $-17x$ and $-18x$ to get $-35x$.

$$-35x+31=-39$$

Subtract $31$ from both sides.

$$-35x=-39-31$$

Subtract $31$ from $-39$ to get $-70$.

$$-35x=-70$$

Divide both sides by $-35$.

$$x=\frac{-70}{-35}$$

Divide $-70$ by $-35$ to get $2$.

$$x=2$$