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5x-2=3(x+4)
What is the value of X

User Merc
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2 Answers

3 votes

Answer:


\sf \: x = 7

Explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 5x - 2 = 3(x + 4)

Then the value of x will be,

→ 5x - 2 = 3(x + 4)

→ 5x - 2 = 3(x) + 3(4)

→ 5x - 2 = 3x + 12

→ 5x - 3x = 12 + 2

→ 2x = 14

→ x = 14 ÷ 2

→ [ x = 7 ]

Hence, the value of x is 7.

User Xiaoyu Xu
by
8.1k points
3 votes

Answer:


\large\boxed{\textsf{x = 7}}

Explanation:


\textsf{For this problem, we are asked to find the value of x.}


\textsf{We should simply isolate the x so that it's only on one side.}


\large\underline{\textsf{How?}}


\textsf{Simply use the Distributive Property for the right side of the equation.}


\textsf{Simplify the equation to where x is by itself.}


\large\underline{\textsf{What is the Distributive Property?}}


\textsf{The Distributive Property is a Property that allow us to distribute expressions further.}


\textsf{Commonly, the form is a(b+c); Where b and c are multiplied by a.}


\large\underline{\textsf{Use the Distributive Property;}}


\mathtt{5x-2=3(x+4)}


\mathtt{5x-2=(3 * x)+(3 * 4)}


\mathtt{5x-2=3x+12}


\large\underline{\textsf{Add 2 to Both Sides of the Equation;}}


\mathtt{5x-2 \ \underline{+ \ 2}=3x+12 \ \underline{+ \ 2}}


\mathtt{5x=3x+14}


\large\underline{\textsf{Subtract 3x from Both Sides of the Equation;}}


\mathtt{5x-3x=3x-3x+14}


\mathtt{2x=14}


\large\underline{\textsf{Divide the Whole Equation by 2;}}


\mathtt{(2x)/(2) = (14)/(2) }


\large\boxed{\textsf{x = 7}}

User Turhanco
by
8.5k points

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