Question
2(3x−1)−3=4x+7
Solve the equation
x=6
Evaluate
2(3x−1)−3=4x+7
Move the expression to the left side
2(3x−1)−3−(4x+7)=0
Subtract the terms
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Evaluate
2(3x−1)−3−(4x+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
2(3x−1)−3−4x−7
Subtract the numbers
2(3x−1)−10−4x
2(3x−1)−10−4x=0
Calculate
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Evaluate
2(3x−1)−10−4x
Expand the expression
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Calculate
2(3x−1)
Apply the distributive property
2×3x−2×1
Multiply the numbers
6x−2×1
Any expression multiplied by 1 remains the same
6x−2
6x−2−10−4x
Subtract the terms
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Evaluate
6x−4x
Collect like terms by calculating the sum or difference of their coefficients
(6−4)x
Subtract the numbers
2x
2x−2−10
Subtract the numbers
2x−12
2x−12=0
Move the constant to the right-hand side and change its sign
2x=0+12
Removing 0 doesn't change the value,so remove it from the expression
2x=12
Divide both sides
22x=212
Divide the numbers
x=212
Solution
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Evaluate
212
Reduce the numbers
16
Calculate
6
x=6
Show Solution

Rewrite the equation
x=6
Evaluate
2(3x−1)−3=4x+7
Evaluate
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Evaluate
2(3x−1)−3
Expand the expression
More Steps

Calculate
2(3x−1)
Apply the distributive property
2×3x−2×1
Multiply the numbers
6x−2×1
Any expression multiplied by 1 remains the same
6x−2
6x−2−3
Subtract the numbers
6x−5
6x−5=4x+7
Move the variable to the left side
2x−5=7
Move the constant to the right side
2x=12
Solution
x=6
Show Solution
