3x+53=7x-55

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Solution for 3x+53=7x-55 equation:


Simplifying
3x + 53 = 7x + -55

Reorder the terms:
53 + 3x = 7x + -55

Reorder the terms:
53 + 3x = -55 + 7x

Solving
53 + 3x = -55 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
53 + 3x + -7x = -55 + 7x + -7x

Combine like terms: 3x + -7x = -4x
53 + -4x = -55 + 7x + -7x

Combine like terms: 7x + -7x = 0
53 + -4x = -55 + 0
53 + -4x = -55

Add '-53' to each side of the equation.
53 + -53 + -4x = -55 + -53

Combine like terms: 53 + -53 = 0
0 + -4x = -55 + -53
-4x = -55 + -53

Combine like terms: -55 + -53 = -108
-4x = -108

Divide each side by '-4'.
x = 27

Simplifying
x = 27

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