3x+105=7x-11

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Solution for 3x+105=7x-11 equation:


Simplifying
3x + 105 = 7x + -11

Reorder the terms:
105 + 3x = 7x + -11

Reorder the terms:
105 + 3x = -11 + 7x

Solving
105 + 3x = -11 + 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.
105 + 3x + -7x = -11 + 7x + -7x

Combine like terms: 3x + -7x = -4x
105 + -4x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
105 + -4x = -11 + 0
105 + -4x = -11

Add '-105' to each side of the equation.
105 + -105 + -4x = -11 + -105

Combine like terms: 105 + -105 = 0
0 + -4x = -11 + -105
-4x = -11 + -105

Combine like terms: -11 + -105 = -116
-4x = -116

Divide each side by '-4'.
x = 29

Simplifying
x = 29

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