Question
Solve the equation
x=40
Evaluate
87x+(65−x)×56=65
Simplify
More Steps

Evaluate
87x+(65−x)×56
Multiply the terms
More Steps

Evaluate
(65−x)×56
Apply the distributive property
65×56−x×56
Multiply the numbers
78−x×56
Use the commutative property to reorder the terms
78−56x
87x+78−56x
Subtract the terms
More Steps

Evaluate
87x−56x
Collect like terms by calculating the sum or difference of their coefficients
(87−56)x
Subtract the numbers
−4013x
−4013x+78
−4013x+78=65
Move the constant to the right-hand side and change its sign
−4013x=65−78
Subtract the numbers
−4013x=−13
Change the signs on both sides of the equation
4013x=13
Multiply by the reciprocal
4013x×1340=13×1340
Multiply
x=13×1340
Solution
More Steps

Evaluate
13×1340
Reduce the numbers
1×40
Simplify
40
x=40
Show Solution

Rewrite the equation
x=40
Evaluate
87x+(65−x)×56=65
Evaluate
More Steps

Evaluate
87x+(65−x)×56
Multiply the terms
More Steps

Evaluate
(65−x)×56
Apply the distributive property
65×56−x×56
Multiply the numbers
78−x×56
Use the commutative property to reorder the terms
78−56x
87x+78−56x
Subtract the terms
More Steps

Evaluate
87x−56x
Collect like terms by calculating the sum or difference of their coefficients
(87−56)x
Subtract the numbers
−4013x
−4013x+78
−4013x+78=65
Multiply both sides of the equation by LCD
−13x+3120=2600
Move the constant to the right side
−13x=−520
Multiply both sides
13x=520
Solution
x=40
Show Solution
