Solve 4(x+2)-2(x-4)=2x+16 | 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

$$4(x+2)-2(x-4)=2x+16$$

Solve for x (complex solution)

$x\in \mathrm{C}$

Solution Steps

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

$$4x+8-2\left(x-4\right)=2x+16$$

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

$$4x+8-2x+8=2x+16$$

Combine $4x$ and $-2x$ to get $2x$.

$$2x+8+8=2x+16$$

Add $8$ and $8$ to get $16$.

$$2x+16=2x+16$$

Subtract $2x$ from both sides.

$$2x+16-2x=16$$

Combine $2x$ and $-2x$ to get $0$.

$$16=16$$

Compare $16$ and $16$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{C}$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

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

$$4x+8-2\left(x-4\right)=2x+16$$

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

$$4x+8-2x+8=2x+16$$

Combine $4x$ and $-2x$ to get $2x$.

$$2x+8+8=2x+16$$

Add $8$ and $8$ to get $16$.

$$2x+16=2x+16$$

Subtract $2x$ from both sides.

$$2x+16-2x=16$$

Combine $2x$ and $-2x$ to get $0$.

$$16=16$$

Compare $16$ and $16$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{R}$$