Solve 3T - 2 - 2 * (T + 3)/3 = 2/3 | 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

$$3T-2-2\frac{T+3}{3}=\frac{2}{3}$$

Solve for T

$T=2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$3\left(3T-2\right)-2\left(T+3\right)=2$$

Use the distributive property to multiply $3$ by $3T-2$.

$$9T-6-2\left(T+3\right)=2$$

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

$$9T-6-2T-6=2$$

Combine $9T$ and $-2T$ to get $7T$.

$$7T-6-6=2$$

Subtract $6$ from $-6$ to get $-12$.

$$7T-12=2$$

Add $12$ to both sides.

$$7T=2+12$$

Add $2$ and $12$ to get $14$.

$$7T=14$$

Divide both sides by $7$.

$$T=\frac{14}{7}$$

Divide $14$ by $7$ to get $2$.

$$T=2$$