Question
Solve the equation
x=−21
Alternative Form
x=−0.5
Evaluate
21(24−2x)=25(3−4x)
Multiply the terms
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Evaluate
21(24−2x)
Apply the distributive property
21×24−21×2x
Multiply the numbers
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Evaluate
21×24
Reduce the numbers
1×12
Simplify
12
12−21×2x
Multiply the numbers
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Evaluate
21×2
Reduce the numbers
1×1
Simplify
1
12−x
12−x=25(3−4x)
Multiply the terms
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Evaluate
25(3−4x)
Apply the distributive property
25×3−25×4x
Multiply the numbers
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Evaluate
25×3
Multiply the numbers
25×3
Multiply the numbers
215
215−25×4x
Multiply the numbers
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Evaluate
25×4
Reduce the numbers
5×2
Multiply the numbers
10
215−10x
12−x=215−10x
Multiply both sides of the equation by LCM
(12−x)×2=(215−10x)×2
Calculate
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Evaluate
(12−x)×2
Apply the distributive property
12×2−x×2
Multiply the numbers
24−x×2
Use the commutative property to reorder the terms
24−2x
24−2x=(215−10x)×2
Calculate
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Evaluate
(215−10x)×2
Apply the distributive property
215×2−10x×2
Multiply the numbers
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Evaluate
215×2
Reduce the numbers
15×1
Simplify
15
15−10x×2
Multiply the numbers
15−20x
24−2x=15−20x
Move the expression to the left side
24−2x+20x=15
Move the expression to the right side
−2x+20x=15−24
Add and subtract
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Evaluate
−2x+20x
Collect like terms by calculating the sum or difference of their coefficients
(−2+20)x
Add the numbers
18x
18x=15−24
Add and subtract
18x=−9
Divide both sides
1818x=18−9
Divide the numbers
x=18−9
Solution
More Steps

Evaluate
18−9
Cancel out the common factor 9
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
x=−21
Alternative Form
x=−0.5
Show Solution

Rewrite the equation
2x=−1
Evaluate
21(24−2x)=25(3−4x)
Evaluate
More Steps

Evaluate
21(24−2x)
Apply the distributive property
21×24−21×2x
Multiply the numbers
More Steps

Evaluate
21×24
Reduce the numbers
1×12
Simplify
12
12−21×2x
Multiply the numbers
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Evaluate
21×2
Reduce the numbers
1×1
Simplify
1
12−x
12−x=25(3−4x)
Evaluate
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Evaluate
25(3−4x)
Apply the distributive property
25×3−25×4x
Multiply the numbers
More Steps

Evaluate
25×3
Multiply the numbers
25×3
Multiply the numbers
215
215−25×4x
Multiply the numbers
More Steps

Evaluate
25×4
Reduce the numbers
5×2
Multiply the numbers
10
215−10x
12−x=215−10x
Multiply both sides of the equation by LCD
24−2x=15−20x
Move the variable to the left side
24+18x=15
Move the constant to the right side
18x=−9
Solution
2x=−1
Show Solution
