Solve (5x)/(6)-(3x)/(4)=x-11 | 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

$$\frac{ 5x }{ 6 } - \frac{ 3x }{ 4 } =x-11$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $6,4$.

$$2\times 5x-3\times 3x=12x-132$$

Multiply $2$ and $5$ to get $10$.

$$10x-3\times 3x=12x-132$$

Multiply $-3$ and $3$ to get $-9$.

$$10x-9x=12x-132$$

Combine $10x$ and $-9x$ to get $x$.

$$x=12x-132$$

Subtract $12x$ from both sides.

$$x-12x=-132$$

Combine $x$ and $-12x$ to get $-11x$.

$$-11x=-132$$

Divide both sides by $-11$.

$$x=\frac{-132}{-11}$$

Divide $-132$ by $-11$ to get $12$.

$$x=12$$