Which of the following is a solution of the equation 3x- 7 = 7- 4x
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Answer:
Simplifying
3x + -7 = 7 + -4x
Reorder the terms:
-7 + 3x = 7 + -4x
Solving
-7 + 3x = 7 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-7 + 3x + 4x = 7 + -4x + 4x
Combine like terms: 3x + 4x = 7x
-7 + 7x = 7 + -4x + 4x
Combine like terms: -4x + 4x = 0
-7 + 7x = 7 + 0
-7 + 7x = 7
Add '7' to each side of the equation.
-7 + 7 + 7x = 7 + 7
Combine like terms: -7 + 7 = 0
0 + 7x = 7 + 7
7x = 7 + 7
Combine like terms: 7 + 7 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
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