Question
Solve the equation
z=2
Evaluate
3(5z−7)−2(9z−11)=4(8z−13)−17
Move the expression to the left side
3(5z−7)−2(9z−11)−(4(8z−13)−17)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3(5z−7)−2(9z−11)−4(8z−13)+17=0
Calculate the sum or difference
More Steps

Evaluate
3(5z−7)−2(9z−11)−4(8z−13)+17
Expand the expression
More Steps

Calculate
3(5z−7)
Apply the distributive property
3×5z−3×7
Multiply the numbers
15z−3×7
Multiply the numbers
15z−21
15z−21−2(9z−11)−4(8z−13)+17
Expand the expression
More Steps

Calculate
−2(9z−11)
Apply the distributive property
−2×9z−(−2×11)
Multiply the numbers
−18z−(−2×11)
Multiply the numbers
−18z−(−22)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−18z+22
15z−21−18z+22−4(8z−13)+17
Expand the expression
More Steps

Calculate
−4(8z−13)
Apply the distributive property
−4×8z−(−4×13)
Multiply the numbers
−32z−(−4×13)
Multiply the numbers
−32z−(−52)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−32z+52
15z−21−18z+22−32z+52+17
Subtract the terms
More Steps

Evaluate
15z−18z−32z
Collect like terms by calculating the sum or difference of their coefficients
(15−18−32)z
Subtract the numbers
−35z
−35z−21+22+52+17
Add the numbers
−35z+70
−35z+70=0
Move the constant to the right-hand side and change its sign
−35z=0−70
Removing 0 doesn't change the value,so remove it from the expression
−35z=−70
Change the signs on both sides of the equation
35z=70
Divide both sides
3535z=3570
Divide the numbers
z=3570
Solution
More Steps

Evaluate
3570
Reduce the numbers
12
Calculate
2
z=2
Show Solution
