(3x+5)+(x-2)=102

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Solution for (3x+5)+(x-2)=102 equation:


Simplifying
(3x + 5) + (x + -2) = 102

Reorder the terms:
(5 + 3x) + (x + -2) = 102

Remove parenthesis around (5 + 3x)
5 + 3x + (x + -2) = 102

Reorder the terms:
5 + 3x + (-2 + x) = 102

Remove parenthesis around (-2 + x)
5 + 3x + -2 + x = 102

Reorder the terms:
5 + -2 + 3x + x = 102

Combine like terms: 5 + -2 = 3
3 + 3x + x = 102

Combine like terms: 3x + x = 4x
3 + 4x = 102

Solving
3 + 4x = 102

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 102 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 102 + -3
4x = 102 + -3

Combine like terms: 102 + -3 = 99
4x = 99

Divide each side by '4'.
x = 24.75

Simplifying
x = 24.75

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