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How do you solve $8x + 3 = 19$ ?

seo-qna
Last updated date: 22nd Feb 2024
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IVSAT 2024
Answer
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Hint: On the right-hand side, we are given a constant term 19 and the left-hand side is the sum of 13 and 8x, where 8x means 8 times of x. We require n number of equations for finding the values of n unknown variables; the given equation contains only one unknown quantity and we have one equation to solve it. To solve the given equation for the value of x, so we keep all the terms containing x on one side of the equation and apply arithmetic operations like addition, subtraction, multiplication and division. This way we can find the value of x.

Complete step by step solution:
We have to solve $8x + 3 = 19$
Rearranging the terms, we get –
$
  8x = 19 - 3 \\
   \Rightarrow 8x = 16 \\
   \Rightarrow x = \dfrac{{16}}{8} \\
   \Rightarrow x = 2 \\
 $
Hence, when $8x + 3 = 19$ , we get $x = 2$ .

Note: In this question, we are given a mathematical expression that is a combination of both numerical values and alphabets. The representation of numbers by alphabets in a formula or equation involving mathematical operations is known as algebra. Thus, the equation given in the equation is an algebraic equation. After simplifying the expression, we get x as a fraction. To find the most accurate value of x, we try to simplify the fraction by doing its prime factorization, that is, we express the numerator and the denominator as a product of prime factors, and look for the values that are present in both the numerator and the denominator, we cancel out these common factors to get the correct answer. We can solve similar questions using the above-mentioned method.