Question  
 Solve the equation
x=−2
Evaluate
2(5x−1)=4x−14
Expand the expression
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Evaluate
2(5x−1)
Apply the distributive property
2×5x−2×1
Multiply the numbers
10x−2×1
Any expression multiplied by 1 remains the same
10x−2
10x−2=4x−14
Move the expression to the left side
10x−2−4x=−14
Move the expression to the right side
10x−4x=−14+2
Add and subtract
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Evaluate
10x−4x
Collect like terms by calculating the sum or difference of their coefficients
(10−4)x
Subtract the numbers
6x
6x=−14+2
Add and subtract
6x=−12
Divide both sides
66x=6−12
Divide the numbers
x=6−12
Solution
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Evaluate
6−12
Reduce the numbers
1−2
Calculate
−2
x=−2
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Rewrite the equation
x=−2
Evaluate
2(5x−1)=4x−14
Multiply
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Evaluate
2(5x−1)
Apply the distributive property
2×5x−2×1
Multiply the numbers
10x−2×1
Any expression multiplied by 1 remains the same
10x−2
10x−2=4x−14
Move the variable to the left side
6x−2=−14
Move the constant to the right side
6x=−12
Solution
x=−2
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