Solve 3x+2(2x-1)=3(x+2)-4 | 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

$$3x+2(2x-1)=3(x+2)-4$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $2x-1$.

$$3x+4x-2=3\left(x+2\right)-4$$

Combine $3x$ and $4x$ to get $7x$.

$$7x-2=3\left(x+2\right)-4$$

Use the distributive property to multiply $3$ by $x+2$.

$$7x-2=3x+6-4$$

Subtract $4$ from $6$ to get $2$.

$$7x-2=3x+2$$

Subtract $3x$ from both sides.

$$7x-2-3x=2$$

Combine $7x$ and $-3x$ to get $4x$.

$$4x-2=2$$

Add $2$ to both sides.

$$4x=2+2$$

Add $2$ and $2$ to get $4$.

$$4x=4$$

Divide both sides by $4$.

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

Divide $4$ by $4$ to get $1$.

$$x=1$$