Question
Solve the equation
x=744
Alternative Form
x=6.2˙85714˙
Evaluate
3(x−4)−14=2(x−7)×5
Multiply the terms
3(x−4)−14=10(x−7)
Calculate
More Steps

Evaluate
3(x−4)−14
Expand the expression
More Steps

Calculate
3(x−4)
Apply the distributive property
3x−3×4
Multiply the numbers
3x−12
3x−12−14
Subtract the numbers
3x−26
3x−26=10(x−7)
Calculate
More Steps

Evaluate
10(x−7)
Apply the distributive property
10x−10×7
Multiply the numbers
10x−70
3x−26=10x−70
Move the expression to the left side
3x−26−(10x−70)=0
Calculate
More Steps

Add the terms
3x−26−(10x−70)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x−26−10x+70
Subtract the terms
More Steps

Evaluate
3x−10x
Collect like terms by calculating the sum or difference of their coefficients
(3−10)x
Subtract the numbers
−7x
−7x−26+70
Add the numbers
−7x+44
−7x+44=0
Move the constant to the right-hand side and change its sign
−7x=0−44
Removing 0 doesn't change the value,so remove it from the expression
−7x=−44
Change the signs on both sides of the equation
7x=44
Divide both sides
77x=744
Solution
x=744
Alternative Form
x=6.2˙85714˙
Show Solution

Rewrite the equation
7x=44
Evaluate
3(x−4)−14=2(x−7)×5
Evaluate
More Steps

Evaluate
3(x−4)−14
Expand the expression
More Steps

Calculate
3(x−4)
Apply the distributive property
3x−3×4
Multiply the numbers
3x−12
3x−12−14
Subtract the numbers
3x−26
3x−26=2(x−7)×5
Evaluate
3x−26=10(x−7)
Multiply
More Steps

Evaluate
10(x−7)
Apply the distributive property
10x−10×7
Multiply the numbers
10x−70
3x−26=10x−70
Move the variable to the left side
−7x−26=−70
Move the constant to the right side
−7x=−44
Solution
7x=44
Show Solution
