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# How do you solve $7h + 2h - 3 = 15$?

Last updated date: 20th Jun 2024
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Hint: In the given problem we need to solve this for ‘h’. We can solve this using the transposition method. The common transposition method is to do the same thing (mathematically) to both sides of the equation, with the aim of bringing like terms together and isolating the variable (or the unknown quantity). That is we group the ‘h’ terms one side and constants on the other side of the equation.

Complete step-by-step solution:
Given, $7h + 2h - 3 = 15$.
Adding the like terms in the left hand side of the equation,
$9h - 3 = 15$
We transpose ‘3’ which is present in the left hand side of the equation to the right hand side of the equation by adding ‘3’ on the right hand side of the equation.
$9h = 15 + 3$
$9h = 18$
Divide the whole equation by 9,
$h = \dfrac{{18}}{9}$
$\Rightarrow h = 2$
$7(2) + 2(2) - 3 = 15$
$14 + 4 - 3 = 15$
$18 - 3 = 15$
$\Rightarrow 15 = 15$