(7x-2)=(3x+12)

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Solution for (7x-2)=(3x+12) equation:


Simplifying
(7x + -2) = (3x + 12)

Reorder the terms:
(-2 + 7x) = (3x + 12)

Remove parenthesis around (-2 + 7x)
-2 + 7x = (3x + 12)

Reorder the terms:
-2 + 7x = (12 + 3x)

Remove parenthesis around (12 + 3x)
-2 + 7x = 12 + 3x

Solving
-2 + 7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 7x + -3x = 12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-2 + 4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 4x = 12 + 0
-2 + 4x = 12

Add '2' to each side of the equation.
-2 + 2 + 4x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 12 + 2
4x = 12 + 2

Combine like terms: 12 + 2 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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