Question
2=6(x−3)×4−5x
Solve the equation
x=1974
Alternative Form
x≈3.894737
Evaluate
2=6(x−3)×4−5x
Multiply the terms
2=24(x−3)−5x
Swap the sides of the equation
24(x−3)−5x=2
Move the expression to the left side
24(x−3)−5x−2=0
Calculate
More Steps

Evaluate
24(x−3)−5x−2
Expand the expression
More Steps

Calculate
24(x−3)
Apply the distributive property
24x−24×3
Multiply the numbers
24x−72
24x−72−5x−2
Subtract the terms
More Steps

Evaluate
24x−5x
Collect like terms by calculating the sum or difference of their coefficients
(24−5)x
Subtract the numbers
19x
19x−72−2
Subtract the numbers
19x−74
19x−74=0
Move the constant to the right-hand side and change its sign
19x=0+74
Removing 0 doesn't change the value,so remove it from the expression
19x=74
Divide both sides
1919x=1974
Solution
x=1974
Alternative Form
x≈3.894737
Show Solution

Rewrite the equation
19x=74
Evaluate
2=6(x−3)×4−5x
Evaluate
More Steps

Evaluate
6(x−3)×4−5x
Multiply the terms
24(x−3)−5x
Expand the expression
More Steps

Calculate
24(x−3)
Apply the distributive property
24x−24×3
Multiply the numbers
24x−72
24x−72−5x
Subtract the terms
More Steps

Evaluate
24x−5x
Collect like terms by calculating the sum or difference of their coefficients
(24−5)x
Subtract the numbers
19x
19x−72
2=19x−72
Rewrite the expression
19x−72=2
Solution
19x=74
Show Solution
