(7x-7)=(3x+45)

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Solution for (7x-7)=(3x+45) equation:


Simplifying
(7x + -7) = (3x + 45)

Reorder the terms:
(-7 + 7x) = (3x + 45)

Remove parenthesis around (-7 + 7x)
-7 + 7x = (3x + 45)

Reorder the terms:
-7 + 7x = (45 + 3x)

Remove parenthesis around (45 + 3x)
-7 + 7x = 45 + 3x

Solving
-7 + 7x = 45 + 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.
-7 + 7x + -3x = 45 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-7 + 4x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 4x = 45 + 0
-7 + 4x = 45

Add '7' to each side of the equation.
-7 + 7 + 4x = 45 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 45 + 7
4x = 45 + 7

Combine like terms: 45 + 7 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13

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