(3x-4)=(x+7)

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Solution for (3x-4)=(x+7) equation:


Simplifying
(3x + -4) = (x + 7)

Reorder the terms:
(-4 + 3x) = (x + 7)

Remove parenthesis around (-4 + 3x)
-4 + 3x = (x + 7)

Reorder the terms:
-4 + 3x = (7 + x)

Remove parenthesis around (7 + x)
-4 + 3x = 7 + x

Solving
-4 + 3x = 7 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-4 + 3x + -1x = 7 + x + -1x

Combine like terms: 3x + -1x = 2x
-4 + 2x = 7 + x + -1x

Combine like terms: x + -1x = 0
-4 + 2x = 7 + 0
-4 + 2x = 7

Add '4' to each side of the equation.
-4 + 4 + 2x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 7 + 4
2x = 7 + 4

Combine like terms: 7 + 4 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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