2x+74=102-x

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Solution for 2x+74=102-x equation:


Simplifying
2x + 74 = 102 + -1x

Reorder the terms:
74 + 2x = 102 + -1x

Solving
74 + 2x = 102 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
74 + 2x + x = 102 + -1x + x

Combine like terms: 2x + x = 3x
74 + 3x = 102 + -1x + x

Combine like terms: -1x + x = 0
74 + 3x = 102 + 0
74 + 3x = 102

Add '-74' to each side of the equation.
74 + -74 + 3x = 102 + -74

Combine like terms: 74 + -74 = 0
0 + 3x = 102 + -74
3x = 102 + -74

Combine like terms: 102 + -74 = 28
3x = 28

Divide each side by '3'.
x = 9.333333333

Simplifying
x = 9.333333333

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