Question
Solve the equation
Solve for x
x=229
Alternative Form
x=14.5
Evaluate
7(x−2)=5(x+3)
Calculate
More Steps

Evaluate
7(x−2)
Apply the distributive property
7x−7×2
Multiply the numbers
7x−14
7x−14=5(x+3)
Calculate
More Steps

Evaluate
5(x+3)
Apply the distributive property
5x+5×3
Multiply the numbers
5x+15
7x−14=5x+15
Move the expression to the left side
7x−14−(5x+15)=0
Calculate
More Steps

Add the terms
7x−14−(5x+15)
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−14−5x−15
Subtract the terms
More Steps

Evaluate
7x−5x
Collect like terms by calculating the sum or difference of their coefficients
(7−5)x
Subtract the numbers
2x
2x−14−15
Subtract the numbers
2x−29
2x−29=0
Move the constant to the right-hand side and change its sign
2x=0+29
Removing 0 doesn't change the value,so remove it from the expression
2x=29
Divide both sides
22x=229
Solution
x=229
Alternative Form
x=14.5
Show Solution

Rewrite the equation
Rewrite in standard form
2x=29
Evaluate
7(x−2)=5(x+3)
Multiply
More Steps

Evaluate
7(x−2)
Apply the distributive property
7x−7×2
Multiply the numbers
7x−14
7x−14=5(x+3)
Multiply
More Steps

Evaluate
5(x+3)
Apply the distributive property
5x+5×3
Multiply the numbers
5x+15
7x−14=5x+15
Move the variable to the left side
2x−14=15
Solution
2x=29
Show Solution
