Question

Solve the equation and show all your work. 3(x- 5) = 6

Answer 1

Answer- X=7

Your welcome

Answer 2

Answer:

x = 7

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

• Step 1 :- we will Identify the variables and constants in the given simple equation.
• Step 2 :- then we Simplify the equation in LHS and RHS.
• Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.
• Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
• Step 5 :- Then the result will be the solution for the given linear equation.

$\begin{gathered}\end{gathered}$

SOLUTION :

To solve this equation, we'll use this given concept :

$\begin{gathered} \qquad{\twoheadrightarrow{\sf{3(x - 5) = 6}}}\\\\\qquad{\twoheadrightarrow{\sf{(3 \times x) - (3 \times 5) = 6}}}\\\\\qquad{\twoheadrightarrow{\sf{(3x) - (15) = 6}}}\\\\\qquad{\twoheadrightarrow{\sf{3x - 15 = 6}}}\\\\\qquad{\twoheadrightarrow{\sf{3x = 6 + 15}}}\\\\\qquad{\twoheadrightarrow{\sf{3x =21}}}\\\\\qquad{\twoheadrightarrow{\sf{x = \dfrac{21}{3}}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 7}}}\\\\\qquad{\star{\underline{\boxed{\sf{\purple{x = 7}}}}}}\end{gathered}$

Hence, the value of x is 7.

$\rule{300}{2.5}$