Question
Solve the equation
x=51
Alternative Form
x=0.2
Evaluate
2(x−3)=(x−1)×7
Multiply the terms
2(x−3)=7(x−1)
Calculate
More Steps

Evaluate
2(x−3)
Apply the distributive property
2x−2×3
Multiply the numbers
2x−6
2x−6=7(x−1)
Calculate
More Steps

Evaluate
7(x−1)
Apply the distributive property
7x−7×1
Any expression multiplied by 1 remains the same
7x−7
2x−6=7x−7
Move the expression to the left side
2x−6−(7x−7)=0
Calculate
More Steps

Add the terms
2x−6−(7x−7)
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−6−7x+7
Subtract the terms
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Evaluate
2x−7x
Collect like terms by calculating the sum or difference of their coefficients
(2−7)x
Subtract the numbers
−5x
−5x−6+7
Add the numbers
−5x+1
−5x+1=0
Move the constant to the right-hand side and change its sign
−5x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−5x=−1
Change the signs on both sides of the equation
5x=1
Divide both sides
55x=51
Solution
x=51
Alternative Form
x=0.2
Show Solution

Rewrite the equation
5x=1
Evaluate
2(x−3)=(x−1)×7
Evaluate
2(x−3)=7(x−1)
Multiply
More Steps

Evaluate
2(x−3)
Apply the distributive property
2x−2×3
Multiply the numbers
2x−6
2x−6=7(x−1)
Multiply
More Steps

Evaluate
7(x−1)
Apply the distributive property
7x−7×1
Any expression multiplied by 1 remains the same
7x−7
2x−6=7x−7
Move the variable to the left side
−5x−6=−7
Move the constant to the right side
−5x=−1
Solution
5x=1
Show Solution
