(7x+6)=(4x+42)

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Solution for (7x+6)=(4x+42) equation:


Simplifying
(7x + 6) = (4x + 42)

Reorder the terms:
(6 + 7x) = (4x + 42)

Remove parenthesis around (6 + 7x)
6 + 7x = (4x + 42)

Reorder the terms:
6 + 7x = (42 + 4x)

Remove parenthesis around (42 + 4x)
6 + 7x = 42 + 4x

Solving
6 + 7x = 42 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 7x + -4x = 42 + 4x + -4x

Combine like terms: 7x + -4x = 3x
6 + 3x = 42 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 3x = 42 + 0
6 + 3x = 42

Add '-6' to each side of the equation.
6 + -6 + 3x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 42 + -6
3x = 42 + -6

Combine like terms: 42 + -6 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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