Solve ) 0.25(4x - 3) = 0.5x - 9 | 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

$$0.25 ( 4 x - 3 ) = 0.5 x - 9$$

Solve for x

$x=-16.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.25$ by $4x-3$.

$$x-0.75=0.5x-9$$

Subtract $0.5x$ from both sides.

$$x-0.75-0.5x=-9$$

Combine $x$ and $-0.5x$ to get $0.5x$.

$$0.5x-0.75=-9$$

Add $0.75$ to both sides.

$$0.5x=-9+0.75$$

Add $-9$ and $0.75$ to get $-8.25$.

$$0.5x=-8.25$$

Divide both sides by $0.5$.

$$x=\frac{-8.25}{0.5}$$

Expand $\frac{-8.25}{0.5}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{-825}{50}$$

Reduce the fraction $\frac{-825}{50}$ to lowest terms by extracting and canceling out $25$.

$$x=-\frac{33}{2}$$