Question
Solve the equation
x=1928
Alternative Form
x≈1.473684
Evaluate
2(5x−7)=21x
Expand the expression
More Steps

Evaluate
2(5x−7)
Apply the distributive property
2×5x−2×7
Multiply the numbers
10x−2×7
Multiply the numbers
10x−14
10x−14=21x
Move the variable to the left side
10x−14−21x=0
Subtract the terms
More Steps

Evaluate
10x−21x
Collect like terms by calculating the sum or difference of their coefficients
(10−21)x
Subtract the numbers
More Steps

Evaluate
10−21
Reduce fractions to a common denominator
210×2−21
Write all numerators above the common denominator
210×2−1
Multiply the numbers
220−1
Subtract the numbers
219
219x
219x−14=0
Move the constant to the right side
219x=0+14
Removing 0 doesn't change the value,so remove it from the expression
219x=14
Multiply by the reciprocal
219x×192=14×192
Multiply
x=14×192
Solution
More Steps

Evaluate
14×192
Multiply the numbers
1914×2
Multiply the numbers
1928
x=1928
Alternative Form
x≈1.473684
Show Solution

Rewrite the equation
19x=28
Evaluate
2(5x−7)=21x
Multiply
More Steps

Evaluate
2(5x−7)
Apply the distributive property
2×5x−2×7
Multiply the numbers
10x−2×7
Multiply the numbers
10x−14
10x−14=21x
Multiply both sides of the equation by LCD
20x−28=x
Move the variable to the left side
19x−28=0
Solution
19x=28
Show Solution
