Solve 4(2x - 3) = 8(2x + 5) | 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

$$4(2x-3)=8(2x+5)$$

Solve for x

$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $2x-3$.

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

Use the distributive property to multiply $8$ by $2x+5$.

$$8x-12=16x+40$$

Subtract $16x$ from both sides.

$$8x-12-16x=40$$

Combine $8x$ and $-16x$ to get $-8x$.

$$-8x-12=40$$

Add $12$ to both sides.

$$-8x=40+12$$

Add $40$ and $12$ to get $52$.

$$-8x=52$$

Divide both sides by $-8$.

$$x=\frac{52}{-8}$$

Reduce the fraction $\frac{52}{-8}$ to lowest terms by extracting and canceling out $4$.

$$x=-\frac{13}{2}$$