Question

Solve 2(4x – 3) = 2(x + 2) + 8 for x. Question 17 options:

Answer 1

Answer:

The value of x is 3.

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.

Solution :

$\dashrightarrow{\tt{2(4x - 3) = 2(x + 2) + 8}}$

$\dashrightarrow{\tt{8x - 6 = 2x + 4 + 8}}$

$\dashrightarrow{\tt{8x - 6 = 2x + 12}}$

$\dashrightarrow{\tt{8x - 2x = 12 + 6}}$

$\dashrightarrow{\tt{6x = 18}}$

$\dashrightarrow{\tt{x = \dfrac{18}{6}}}$

$\dashrightarrow{\tt{x = \cancel{\dfrac{18}{6}}}}$

$\dashrightarrow{\tt{x = 3}}$

${\star{\underline{\boxed{\tt{\red{x = 3}}}}}}$

Hence, the value of x is 3.

$\rule{300}{1.5}$

Answer 2

The value of x in the algebraic expression is 3

What is an algebraic equation?

An algebraic equation is an expression of equality between two or more expressions designed to solve for a common variable.

From the given parameter:

2(4x - 3) = 2(x + 2) + 8

Open brackets

8x - 6 = 2x + 4 + 8

8x - 6 = 2x + 12

Collect like terms

8x - 2x = 12 + 6

6x = 18

x = 18/6

x = 3

Learn more about algebraic expressions here:

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