Question
Solve the equation
x=4
Evaluate
35(34−x)=70(7x−13)
Calculate
More Steps

Evaluate
35(34−x)
Apply the distributive property
35×34−35x
Multiply the numbers
1190−35x
1190−35x=70(7x−13)
Calculate
More Steps

Evaluate
70(7x−13)
Apply the distributive property
70×7x−70×13
Multiply the numbers
490x−70×13
Multiply the numbers
490x−910
1190−35x=490x−910
Move the expression to the left side
1190−35x−(490x−910)=0
Calculate
More Steps

Add the terms
1190−35x−(490x−910)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1190−35x−490x+910
Add the numbers
2100−35x−490x
Subtract the terms
More Steps

Evaluate
−35x−490x
Collect like terms by calculating the sum or difference of their coefficients
(−35−490)x
Subtract the numbers
−525x
2100−525x
2100−525x=0
Move the constant to the right-hand side and change its sign
−525x=0−2100
Removing 0 doesn't change the value,so remove it from the expression
−525x=−2100
Change the signs on both sides of the equation
525x=2100
Divide both sides
525525x=5252100
Divide the numbers
x=5252100
Solution
More Steps

Evaluate
5252100
Reduce the numbers
14
Calculate
4
x=4
Show Solution

Rewrite the equation
x=4
Evaluate
35(34−x)=70(7x−13)
Multiply
More Steps

Evaluate
35(34−x)
Apply the distributive property
35×34−35x
Multiply the numbers
1190−35x
1190−35x=70(7x−13)
Multiply
More Steps

Evaluate
70(7x−13)
Apply the distributive property
70×7x−70×13
Multiply the numbers
490x−70×13
Multiply the numbers
490x−910
1190−35x=490x−910
Move the variable to the left side
1190−525x=−910
Move the constant to the right side
−525x=−2100
Multiply both sides
525x=2100
Solution
x=4
Show Solution
