Question
Solve the equation
Solve for x
x=12
Evaluate
(3×6x)+(2×6x)=10
Simplify
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Evaluate
(3×6x)+(2×6x)
Multiply the terms
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Multiply the terms
3×6x
Cancel out the common factor 3
1×2x
Multiply the terms
2x
2x+(2×6x)
Multiply the terms
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Multiply the terms
2×6x
Cancel out the common factor 2
1×3x
Multiply the terms
3x
2x+3x
2x+3x=10
Multiply both sides of the equation by LCD
(2x+3x)×6=10×6
Simplify the equation
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Evaluate
(2x+3x)×6
Apply the distributive property
2x×6+3x×6
Simplify
x×3+x×2
Use the commutative property to reorder the terms
3x+x×2
Use the commutative property to reorder the terms
3x+2x
Collect like terms by calculating the sum or difference of their coefficients
(3+2)x
Add the numbers
5x
5x=10×6
Simplify the equation
5x=60
Divide both sides
55x=560
Divide the numbers
x=560
Solution
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Evaluate
560
Reduce the numbers
112
Calculate
12
x=12
Show Solution
Rewrite the equation
Rewrite in standard form
x=12
Evaluate
(3×6x)+(2×6x)=10
Evaluate
More Steps

Evaluate
(3×6x)+(2×6x)
Multiply the terms
More Steps

Multiply the terms
3×6x
Cancel out the common factor 3
1×2x
Multiply the terms
2x
2x+(2×6x)
Multiply the terms
More Steps

Multiply the terms
2×6x
Cancel out the common factor 2
1×3x
Multiply the terms
3x
2x+3x
2x+3x=10
Rewrite the expression
More Steps

Evaluate
2x+3x
Reduce the fraction
21x+3x
Reduce the fraction
21x+31x
21x+31x=10
Multiply both sides of the equation by LCD
5x=60
Solution
x=12
Show Solution