Question
Solve the equation
x=0
Evaluate
8x−12x−2=61
Multiply both sides of the equation by LCD
(8x−12x−2)×24=61×24
Simplify the equation
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Evaluate
(8x−12x−2)×24
Apply the distributive property
8x×24−12x−2×24
Simplify
x×3+(−x+2)×2
Use the commutative property to reorder the terms
3x+(−x+2)×2
Multiply the terms
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Evaluate
(−x+2)×2
Apply the distributive property
−x×2+2×2
Use the commutative property to reorder the terms
−2x+2×2
Calculate
−2x+4
3x−2x+4
Subtract the terms
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Evaluate
3x−2x
Collect like terms by calculating the sum or difference of their coefficients
(3−2)x
Subtract the numbers
x
x+4
x+4=61×24
Simplify the equation
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Evaluate
61×24
Simplify
1×4
Any expression multiplied by 1 remains the same
4
x+4=4
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
8x−12x−2=61
Rewrite the expression
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Evaluate
8x−12x−2
Reduce the fraction
81x−12x−2
Reduce the fraction
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Evaluate
−12x−2
Use b−a=−ba=−ba to rewrite the fraction
12−x+2
Reduce the fraction
−121x+61
81x−121x+61
81x−121x+61=61
Multiply both sides of the equation by LCD
x+4=4
Solution
x=0
Show Solution
