Solve (3x - 8)/4 = (9 + 3x)/3 | 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

$$\frac{3x-8}{4}=\frac{9+3x}{3}$$

Solve for x

$x=-20$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,3$.

$$3\left(3x-8\right)=4\left(9+3x\right)$$

Use the distributive property to multiply $3$ by $3x-8$.

$$9x-24=4\left(9+3x\right)$$

Use the distributive property to multiply $4$ by $9+3x$.

$$9x-24=36+12x$$

Subtract $12x$ from both sides.

$$9x-24-12x=36$$

Combine $9x$ and $-12x$ to get $-3x$.

$$-3x-24=36$$

Add $24$ to both sides.

$$-3x=36+24$$

Add $36$ and $24$ to get $60$.

$$-3x=60$$

Divide both sides by $-3$.

$$x=\frac{60}{-3}$$

Divide $60$ by $-3$ to get $-20$.

$$x=-20$$