(2x)+(3.5x)+(3x+7)=102

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Solution for (2x)+(3.5x)+(3x+7)=102 equation:


Simplifying
(2x) + (3.5x) + (3x + 7) = 102

Reorder the terms:
(2x) + (3.5x) + (7 + 3x) = 102

Remove parenthesis around (7 + 3x)
(2x) + (3.5x) + 7 + 3x = 102

Reorder the terms:
7 + (2x) + (3.5x) + 3x = 102

Combine like terms: (2x) + (3.5x) = 5.5x
7 + 5.5x + 3x = 102

Combine like terms: 5.5x + 3x = 8.5x
7 + 8.5x = 102

Solving
7 + 8.5x = 102

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 8.5x = 102 + -7

Combine like terms: 7 + -7 = 0
0 + 8.5x = 102 + -7
8.5x = 102 + -7

Combine like terms: 102 + -7 = 95
8.5x = 95

Divide each side by '8.5'.
x = 11.17647059

Simplifying
x = 11.17647059

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