Question
Solve the equation
x=−4
Evaluate
5x−2(x−7)=2
Move the expression to the left side
5x−2(x−7)−2=0
Calculate
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Evaluate
5x−2(x−7)−2
Expand the expression
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Calculate
−2(x−7)
Apply the distributive property
−2x−(−2×7)
Multiply the numbers
−2x−(−14)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x+14
5x−2x+14−2
Subtract the terms
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Evaluate
5x−2x
Collect like terms by calculating the sum or difference of their coefficients
(5−2)x
Subtract the numbers
3x
3x+14−2
Subtract the numbers
3x+12
3x+12=0
Move the constant to the right-hand side and change its sign
3x=0−12
Removing 0 doesn't change the value,so remove it from the expression
3x=−12
Divide both sides
33x=3−12
Divide the numbers
x=3−12
Solution
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Evaluate
3−12
Reduce the numbers
1−4
Calculate
−4
x=−4
Show Solution

Rewrite the equation
x=−4
Evaluate
5x−2(x−7)=2
Evaluate
More Steps

Evaluate
5x−2(x−7)
Expand the expression
More Steps

Calculate
−2(x−7)
Apply the distributive property
−2x−(−2×7)
Multiply the numbers
−2x−(−14)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x+14
5x−2x+14
Subtract the terms
More Steps

Evaluate
5x−2x
Collect like terms by calculating the sum or difference of their coefficients
(5−2)x
Subtract the numbers
3x
3x+14
3x+14=2
Move the constant to the right side
3x=−12
Solution
x=−4
Show Solution
