Solve 10(2X-5)=2X+2(X+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

$$10(2X-5)=2X+2(X+1)$$

Solve for X

$X = \frac{13}{4} = 3\frac{1}{4} = 3.25$

Steps for Solving Linear Equation

Use the distributive property to multiply $10$ by $2X-5$.

$$20X-50=2X+2\left(X+1\right)$$

Use the distributive property to multiply $2$ by $X+1$.

$$20X-50=2X+2X+2$$

Combine $2X$ and $2X$ to get $4X$.

$$20X-50=4X+2$$

Subtract $4X$ from both sides.

$$20X-50-4X=2$$

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

$$16X-50=2$$

Add $50$ to both sides.

$$16X=2+50$$

Add $2$ and $50$ to get $52$.

$$16X=52$$

Divide both sides by $16$.

$$X=\frac{52}{16}$$

Reduce the fraction $\frac{52}{16}$ to lowest terms by extracting and canceling out $4$.

$$X=\frac{13}{4}$$