2. Solve for   x   and check.

This is an equation which has fractions. It will make things easier if we clear denominators first. Multiply both sides by the smallest common denominator, which, in lthis case, is 24.

To multiply a side of an equation by something, put parentheses around the side of the equation and put the thing you are going to multiply it by in front of the parentheses. The parentheses indicate that we had the expression inside the parentheses together before we decided to multiply it by something.

However, we now know what to do with the parentheses. Multiply the factor outside the parentheses by all of the terms inside.

all of the denominators will be cleared out. That is because a common denominator is something that all denominators go into.

Multiply the surviving factors

16x + 20 = 6x + 9

Transpose.

16x- 6x = 9 - 20

Combine

10x = -11

Divide both sides by the coefficient of the unknown.

x = -11/10

Check

Copy down the original equation

except that instead of copying down the unknown, copy down the solution in parentheses.

.

Not much cancels. In this order of operations problem do the multiplication of fractions first.

Since we are adding fractions, we need common denominators.The smallest common denominator on the left side is 30, and the smallest common denominator on the right hand side is 40.

3/30=4/40

which simplifies to

and the solution checks.

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