Question
Question: How do you solve \(3x - 10 = 5x + 8\)?...
How do you solve 3x−10=5x+8?
Solution
In order to determine the value of variablex in the above equation use the rules of transposing terms to transpose terms having (x)on the Left-hand side and constant value terms on the Right-Hand side of the equation. Solving like terms and dividing both sides of the equation with the coefficient of xwill lead to your required result.
Complete step by step solution:
We are given a linear equation in one variable 3x−10=5x+8.and we have to solve this equation for variable (x).
⇒3x−10=5x+8
Now combining like terms on both of the sides. Terms having x will on the Left-Hand side of the equation and constant terms on the right-hand side .
Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term get reversed .In our case,−10 will become +10on RHS and 5x in LHS will become −5x in LHS
After transposing terms our equation becomes
⇒3x−5x=10+8 ⇒−2x=18
Now dividing both sides by the number −2
⇒−2−2x=−218 ⇒x=−9Therefore, the solution to the equation 3x−10=5x+8is equal to x=−9.
Note: Linear Equation: A linear equation is a equation which can be represented in the form of ax+cwhere xis the unknown variable and a,c are the numbers known where a=0.If a=0then the equation will become a constant value and will no longer be a linear equation .