Question
Solve the equation
x=1
Evaluate
5x+2x=107
Multiply both sides of the equation by LCD
(5x+2x)×10=107×10
Simplify the equation
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Evaluate
(5x+2x)×10
Apply the distributive property
5x×10+2x×10
Simplify
x×2+x×5
Use the commutative property to reorder the terms
2x+x×5
Use the commutative property to reorder the terms
2x+5x
Collect like terms by calculating the sum or difference of their coefficients
(2+5)x
Add the numbers
7x
7x=107×10
Simplify the equation
7x=7
Divide both sides
77x=77
Divide the numbers
x=77
Solution
More Steps

Evaluate
77
Reduce the numbers
11
Calculate
1
x=1
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Rewrite the equation
x=1
Evaluate
5x+2x=107
Rewrite the expression
More Steps

Evaluate
5x+2x
Reduce the fraction
51x+2x
Reduce the fraction
51x+21x
51x+21x=107
Multiply both sides of the equation by LCD
7x=7
Solution
x=1
Show Solution
