(7x+6)=(3x+42)-1

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Solution for (7x+6)=(3x+42)-1 equation:


Simplifying
(7x + 6) = (3x + 42) + -1

Reorder the terms:
(6 + 7x) = (3x + 42) + -1

Remove parenthesis around (6 + 7x)
6 + 7x = (3x + 42) + -1

Reorder the terms:
6 + 7x = (42 + 3x) + -1

Remove parenthesis around (42 + 3x)
6 + 7x = 42 + 3x + -1

Reorder the terms:
6 + 7x = 42 + -1 + 3x

Combine like terms: 42 + -1 = 41
6 + 7x = 41 + 3x

Solving
6 + 7x = 41 + 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.
6 + 7x + -3x = 41 + 3x + -3x

Combine like terms: 7x + -3x = 4x
6 + 4x = 41 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 4x = 41 + 0
6 + 4x = 41

Add '-6' to each side of the equation.
6 + -6 + 4x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 41 + -6
4x = 41 + -6

Combine like terms: 41 + -6 = 35
4x = 35

Divide each side by '4'.
x = 8.75

Simplifying
x = 8.75

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