(2x+30)=(6x-74)

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Solution for (2x+30)=(6x-74) equation:


Simplifying
(2x + 30) = (6x + -74)

Reorder the terms:
(30 + 2x) = (6x + -74)

Remove parenthesis around (30 + 2x)
30 + 2x = (6x + -74)

Reorder the terms:
30 + 2x = (-74 + 6x)

Remove parenthesis around (-74 + 6x)
30 + 2x = -74 + 6x

Solving
30 + 2x = -74 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
30 + 2x + -6x = -74 + 6x + -6x

Combine like terms: 2x + -6x = -4x
30 + -4x = -74 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -4x = -74 + 0
30 + -4x = -74

Add '-30' to each side of the equation.
30 + -30 + -4x = -74 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = -74 + -30
-4x = -74 + -30

Combine like terms: -74 + -30 = -104
-4x = -104

Divide each side by '-4'.
x = 26

Simplifying
x = 26

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