Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
t=5
Evaluate
1−2(5t−1)=2(t−25)−7
Move the expression to the left side
1−2(5t−1)−(2(t−25)−7)=0
Subtract the terms
More Steps
Evaluate
1−2(5t−1)−(2(t−25)−7)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1−2(5t−1)−2(t−25)+7
Add the numbers
8−2(5t−1)−2(t−25)
8−2(5t−1)−2(t−25)=0
Calculate
More Steps
Evaluate
8−2(5t−1)−2(t−25)
Expand the expression
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Calculate
−2(5t−1)
Apply the distributive property
−2×5t−(−2×1)
Multiply the numbers
−10t−(−2×1)
Any expression multiplied by 1 remains the same
−10t−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10t+2
8−10t+2−2(t−25)
Expand the expression
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Calculate
−2(t−25)
Apply the distributive property
−2t−(−2×25)
Multiply the numbers
−2t−(−50)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2t+50
8−10t+2−2t+50
Add the numbers
60−10t−2t
Subtract the terms
More Steps
Evaluate
−10t−2t
Collect like terms by calculating the sum or difference of their coefficients
(−10−2)t
Subtract the numbers
−12t
60−12t
60−12t=0
Move the constant to the right-hand side and change its sign
−12t=0−60
Removing 0 doesn't change the value,so remove it from the expression
−12t=−60
Change the signs on both sides of the equation
12t=60
Divide both sides
1212t=1260
Divide the numbers
t=1260
Solution
More Steps
Evaluate
1260
Reduce the numbers
15
Calculate
5
t=5
Show Solution
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