Solve 3x - 2(x + 4) = 5x - 28 | 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

$$3x-2(x+4)=5x-28$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $x+4$.

$$3x-2x-8=5x-28$$

Combine $3x$ and $-2x$ to get $x$.

$$x-8=5x-28$$

Subtract $5x$ from both sides.

$$x-8-5x=-28$$

Combine $x$ and $-5x$ to get $-4x$.

$$-4x-8=-28$$

Add $8$ to both sides.

$$-4x=-28+8$$

Add $-28$ and $8$ to get $-20$.

$$-4x=-20$$

Divide both sides by $-4$.

$$x=\frac{-20}{-4}$$

Divide $-20$ by $-4$ to get $5$.

$$x=5$$