Question
Solve the equation
Solve for a
a=1
Evaluate
7(5a−4)−1=14−8a
Move the expression to the left side
7(5a−4)−1−(14−8a)=0
Subtract the terms
More Steps

Evaluate
7(5a−4)−1−(14−8a)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7(5a−4)−1−14+8a
Subtract the numbers
7(5a−4)−15+8a
7(5a−4)−15+8a=0
Calculate the sum or difference
More Steps

Evaluate
7(5a−4)−15+8a
Expand the expression
More Steps

Calculate
7(5a−4)
Apply the distributive property
7×5a−7×4
Multiply the numbers
35a−7×4
Multiply the numbers
35a−28
35a−28−15+8a
Add the terms
More Steps

Evaluate
35a+8a
Collect like terms by calculating the sum or difference of their coefficients
(35+8)a
Add the numbers
43a
43a−28−15
Subtract the numbers
43a−43
43a−43=0
Move the constant to the right-hand side and change its sign
43a=0+43
Removing 0 doesn't change the value,so remove it from the expression
43a=43
Divide both sides
4343a=4343
Divide the numbers
a=4343
Solution
More Steps

Evaluate
4343
Reduce the numbers
11
Calculate
1
a=1
Show Solution