Solve .3(12x-16)=.4(12-3x) | 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

$$.3(12x-16)=.4(12-3x)$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.3$ by $12x-16$.

$$3.6x-4.8=0.4\left(12-3x\right)$$

Use the distributive property to multiply $0.4$ by $12-3x$.

$$3.6x-4.8=4.8-1.2x$$

Add $1.2x$ to both sides.

$$3.6x-4.8+1.2x=4.8$$

Combine $3.6x$ and $1.2x$ to get $4.8x$.

$$4.8x-4.8=4.8$$

Add $4.8$ to both sides.

$$4.8x=4.8+4.8$$

Add $4.8$ and $4.8$ to get $9.6$.

$$4.8x=9.6$$

Divide both sides by $4.8$.

$$x=\frac{9.6}{4.8}$$

Expand $\frac{9.6}{4.8}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{96}{48}$$

Divide $96$ by $48$ to get $2$.

$$x=2$$