Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=23
Evaluate
7(x+1)=8(x−2)
Calculate
More Steps
Evaluate
7(x+1)
Apply the distributive property
7x+7×1
Any expression multiplied by 1 remains the same
7x+7
7x+7=8(x−2)
Calculate
More Steps
Evaluate
8(x−2)
Apply the distributive property
8x−8×2
Multiply the numbers
8x−16
7x+7=8x−16
Move the expression to the left side
7x+7−(8x−16)=0
Calculate the sum or difference
More Steps
Add the terms
7x+7−(8x−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7x+7−8x+16
Subtract the terms
More Steps
Evaluate
7x−8x
Collect like terms by calculating the sum or difference of their coefficients
(7−8)x
Subtract the numbers
−x
−x+7+16
Add the numbers
−x+23
−x+23=0
Move the constant to the right-hand side and change its sign
−x=0−23
Removing 0 doesn't change the value,so remove it from the expression
−x=−23
Solution
x=23
Show Solution
Rewrite the equation
x=23
Evaluate
7(x+1)=8(x−2)
Multiply
More Steps
Evaluate
7(x+1)
Apply the distributive property
7x+7×1
Any expression multiplied by 1 remains the same
7x+7
7x+7=8(x−2)
Multiply
More Steps
Evaluate
8(x−2)
Apply the distributive property
8x−8×2
Multiply the numbers
8x−16
7x+7=8x−16
Move the variable to the left side
−x+7=−16
Move the constant to the right side
−x=−23
Solution
x=23
Show Solution
Graph
