Question
Solve the equation
x=1
Evaluate
3=43(7x−3)
Multiply the terms
More Steps

Evaluate
43(7x−3)
Apply the distributive property
43×7x−43×3
Multiply the numbers
More Steps

Evaluate
43×7
Multiply the numbers
43×7
Multiply the numbers
421
421x−43×3
Multiply the numbers
More Steps

Evaluate
43×3
Multiply the numbers
43×3
Multiply the numbers
49
421x−49
3=421x−49
Swap the sides of the equation
421x−49=3
Move the constant to the right-hand side and change its sign
421x=3+49
Add the numbers
More Steps

Evaluate
3+49
Reduce fractions to a common denominator
43×4+49
Write all numerators above the common denominator
43×4+9
Multiply the numbers
412+9
Add the numbers
421
421x=421
Multiply by the reciprocal
421x×214=421×214
Multiply
x=421×214
Solution
More Steps

Evaluate
421×214
Reduce the numbers
41×4
Reduce the numbers
1×1
Simplify
1
x=1
Show Solution

Rewrite the equation
x=1
Evaluate
3=43(7x−3)
Evaluate
More Steps

Evaluate
43(7x−3)
Apply the distributive property
43×7x−43×3
Multiply the numbers
More Steps

Evaluate
43×7
Multiply the numbers
43×7
Multiply the numbers
421
421x−43×3
Multiply the numbers
More Steps

Evaluate
43×3
Multiply the numbers
43×3
Multiply the numbers
49
421x−49
3=421x−49
Multiply both sides of the equation by LCD
12=21x−9
Rewrite the expression
21x−9=12
Move the constant to the right side
21x=21
Solution
x=1
Show Solution
