Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
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First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
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