Question
Solve the equation
Solve for x
x=1249
Alternative Form
x=4.083˙
Evaluate
5x−2+7x=1
Multiply both sides of the equation by LCD
(5x−2+7x)×35=1×35
Simplify the equation
More Steps

Evaluate
(5x−2+7x)×35
Apply the distributive property
5x−2×35+7x×35
Simplify
(x−2)×7+x×5
Multiply the terms
More Steps

Evaluate
(x−2)×7
Apply the distributive property
x×7−2×7
Use the commutative property to reorder the terms
7x−2×7
Calculate
7x−14
7x−14+x×5
Use the commutative property to reorder the terms
7x−14+5x
Add the terms
More Steps

Evaluate
7x+5x
Collect like terms by calculating the sum or difference of their coefficients
(7+5)x
Add the numbers
12x
12x−14
12x−14=1×35
Any expression multiplied by 1 remains the same
12x−14=35
Move the constant to the right side
12x=35+14
Add the numbers
12x=49
Divide both sides
1212x=1249
Solution
x=1249
Alternative Form
x=4.083˙
Show Solution
Rewrite the equation
Rewrite in standard form
12x=49
Evaluate
5x−2+7x=1
Rewrite the expression
More Steps

Evaluate
5x−2+7x
Reduce the fraction
51x−52+7x
Reduce the fraction
51x−52+71x
51x−52+71x=1
Multiply both sides of the equation by LCD
12x−14=35
Solution
12x=49
Show Solution