(4x+6)=x+102

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Solution for (4x+6)=x+102 equation:


Simplifying
(4x + 6) = x + 102

Reorder the terms:
(6 + 4x) = x + 102

Remove parenthesis around (6 + 4x)
6 + 4x = x + 102

Reorder the terms:
6 + 4x = 102 + x

Solving
6 + 4x = 102 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = 102 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = 102 + x + -1x

Combine like terms: x + -1x = 0
6 + 3x = 102 + 0
6 + 3x = 102

Add '-6' to each side of the equation.
6 + -6 + 3x = 102 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 102 + -6
3x = 102 + -6

Combine like terms: 102 + -6 = 96
3x = 96

Divide each side by '3'.
x = 32

Simplifying
x = 32

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