Solve -6(3-4x)+2=8(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

$$-6(3-4x)+2=8(x+11)$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply $-6$ by $3-4x$.

$$-18+24x+2=8\left(x+11\right)$$

Add $-18$ and $2$ to get $-16$.

$$-16+24x=8\left(x+11\right)$$

Use the distributive property to multiply $8$ by $x+11$.

$$-16+24x=8x+88$$

Subtract $8x$ from both sides.

$$-16+24x-8x=88$$

Combine $24x$ and $-8x$ to get $16x$.

$$-16+16x=88$$

Add $16$ to both sides.

$$16x=88+16$$

Add $88$ and $16$ to get $104$.

$$16x=104$$

Divide both sides by $16$.

$$x=\frac{104}{16}$$

Reduce the fraction $\frac{104}{16}$ to lowest terms by extracting and canceling out $8$.

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