Solve 3(x - 4) = 7[11x + 12] | 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

$$3(x-4)=7[11x+12]$$

Solve for x

$x = -\frac{48}{37} = -1\frac{11}{37} \approx -1.297297297$

Steps for Solving Linear Equation

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

$$3x-12=7\left(11x+12\right)$$

Use the distributive property to multiply $7$ by $11x+12$.

$$3x-12=77x+84$$

Subtract $77x$ from both sides.

$$3x-12-77x=84$$

Combine $3x$ and $-77x$ to get $-74x$.

$$-74x-12=84$$

Add $12$ to both sides.

$$-74x=84+12$$

Add $84$ and $12$ to get $96$.

$$-74x=96$$

Divide both sides by $-74$.

$$x=\frac{96}{-74}$$

Reduce the fraction $\frac{96}{-74}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{48}{37}$$