Question
Solve the equation
x=2
Evaluate
3(4x−3)−5x+1=6
Move the expression to the left side
3(4x−3)−5x+1−6=0
Subtract the numbers
3(4x−3)−5x−5=0
Calculate
More Steps

Evaluate
3(4x−3)−5x−5
Expand the expression
More Steps

Calculate
3(4x−3)
Apply the distributive property
3×4x−3×3
Multiply the numbers
12x−3×3
Multiply the numbers
12x−9
12x−9−5x−5
Subtract the terms
More Steps

Evaluate
12x−5x
Collect like terms by calculating the sum or difference of their coefficients
(12−5)x
Subtract the numbers
7x
7x−9−5
Subtract the numbers
7x−14
7x−14=0
Move the constant to the right-hand side and change its sign
7x=0+14
Removing 0 doesn't change the value,so remove it from the expression
7x=14
Divide both sides
77x=714
Divide the numbers
x=714
Solution
More Steps

Evaluate
714
Reduce the numbers
12
Calculate
2
x=2
Show Solution

Rewrite the equation
x=2
Evaluate
3(4x−3)−5x+1=6
Evaluate
More Steps

Evaluate
3(4x−3)−5x+1
Expand the expression
More Steps

Calculate
3(4x−3)
Apply the distributive property
3×4x−3×3
Multiply the numbers
12x−3×3
Multiply the numbers
12x−9
12x−9−5x+1
Subtract the terms
More Steps

Evaluate
12x−5x
Collect like terms by calculating the sum or difference of their coefficients
(12−5)x
Subtract the numbers
7x
7x−9+1
Add the numbers
7x−8
7x−8=6
Move the constant to the right side
7x=14
Solution
x=2
Show Solution
