Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=817
Alternative Form
x=2.125
Evaluate
4(x−7)=−3(4x−2)
Calculate
More Steps
Evaluate
4(x−7)
Apply the distributive property
4x−4×7
Multiply the numbers
4x−28
4x−28=−3(4x−2)
Calculate
More Steps
Evaluate
−3(4x−2)
Apply the distributive property
−3×4x−(−3×2)
Multiply the numbers
−12x−(−3×2)
Multiply the numbers
−12x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12x+6
4x−28=−12x+6
Move the expression to the left side
4x−28−(−12x+6)=0
Calculate
More Steps
Add the terms
4x−28−(−12x+6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x−28+12x−6
Add the terms
More Steps
Evaluate
4x+12x
Collect like terms by calculating the sum or difference of their coefficients
(4+12)x
Add the numbers
16x
16x−28−6
Subtract the numbers
16x−34
16x−34=0
Move the constant to the right-hand side and change its sign
16x=0+34
Removing 0 doesn't change the value,so remove it from the expression
16x=34
Divide both sides
1616x=1634
Divide the numbers
x=1634
Solution
x=817
Alternative Form
x=2.125
Show Solution
Rewrite the equation
8x=17
Evaluate
4(x−7)=−3(4x−2)
Multiply
More Steps
Evaluate
4(x−7)
Apply the distributive property
4x−4×7
Multiply the numbers
4x−28
4x−28=−3(4x−2)
Multiply
More Steps
Evaluate
−3(4x−2)
Apply the distributive property
−3×4x−(−3×2)
Multiply the numbers
−12x−(−3×2)
Multiply the numbers
−12x−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12x+6
4x−28=−12x+6
Move the variable to the left side
16x−28=6
Move the constant to the right side
16x=34
Solution
8x=17
Show Solution
Graph
