(x-2)*7=3x+14

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Solution for (x-2)*7=3x+14 equation:


Simplifying
(x + -2) * 7 = 3x + 14

Reorder the terms:
(-2 + x) * 7 = 3x + 14

Reorder the terms for easier multiplication:
7(-2 + x) = 3x + 14
(-2 * 7 + x * 7) = 3x + 14
(-14 + 7x) = 3x + 14

Reorder the terms:
-14 + 7x = 14 + 3x

Solving
-14 + 7x = 14 + 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.
-14 + 7x + -3x = 14 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-14 + 4x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 4x = 14 + 0
-14 + 4x = 14

Add '14' to each side of the equation.
-14 + 14 + 4x = 14 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 14 + 14
4x = 14 + 14

Combine like terms: 14 + 14 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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