Solve 19x - (3x - 4) = 4(5x - 1) | 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

$$19x-(3x-4)=4(5x-1)$$

Solve for x

$x=2$

Steps for Solving Linear Equation

To find the opposite of $3x-4$, find the opposite of each term.

$$19x-3x-\left(-4\right)=4\left(5x-1\right)$$

The opposite of $-4$ is $4$.

$$19x-3x+4=4\left(5x-1\right)$$

Combine $19x$ and $-3x$ to get $16x$.

$$16x+4=4\left(5x-1\right)$$

Use the distributive property to multiply $4$ by $5x-1$.

$$16x+4=20x-4$$

Subtract $20x$ from both sides.

$$16x+4-20x=-4$$

Combine $16x$ and $-20x$ to get $-4x$.

$$-4x+4=-4$$

Subtract $4$ from both sides.

$$-4x=-4-4$$

Subtract $4$ from $-4$ to get $-8$.

$$-4x=-8$$

Divide both sides by $-4$.

$$x=\frac{-8}{-4}$$

Divide $-8$ by $-4$ to get $2$.

$$x=2$$