Solve 9=(1)/(2)\times3x+24 | 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

$$9= \frac{ 1 }{ 2 } \times 3x+24$$

Solve for x

$x=-10$

Steps for Solving Linear Equation

Multiply $\frac{1}{2}$ and $3$ to get $\frac{3}{2}$.

$$9=\frac{3}{2}x+24$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}x+24=9$$

Subtract $24$ from both sides.

$$\frac{3}{2}x=9-24$$

Subtract $24$ from $9$ to get $-15$.

$$\frac{3}{2}x=-15$$

Multiply both sides by $\frac{2}{3}$, the reciprocal of $\frac{3}{2}$.

$$x=-15\times \frac{2}{3}$$

Express $-15\times \frac{2}{3}$ as a single fraction.

$$x=\frac{-15\times 2}{3}$$

Multiply $-15$ and $2$ to get $-30$.

$$x=\frac{-30}{3}$$

Divide $-30$ by $3$ to get $-10$.

$$x=-10$$