3(x+30)+x(42)+195=390

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Solution for 3(x+30)+x(42)+195=390 equation:


Simplifying
3(x + 30) + x(42) + 195 = 390

Reorder the terms:
3(30 + x) + x(42) + 195 = 390
(30 * 3 + x * 3) + x(42) + 195 = 390
(90 + 3x) + x(42) + 195 = 390

Reorder the terms for easier multiplication:
90 + 3x + 42x + 195 = 390

Reorder the terms:
90 + 195 + 3x + 42x = 390

Combine like terms: 90 + 195 = 285
285 + 3x + 42x = 390

Combine like terms: 3x + 42x = 45x
285 + 45x = 390

Solving
285 + 45x = 390

Solving for variable 'x'.

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

Add '-285' to each side of the equation.
285 + -285 + 45x = 390 + -285

Combine like terms: 285 + -285 = 0
0 + 45x = 390 + -285
45x = 390 + -285

Combine like terms: 390 + -285 = 105
45x = 105

Divide each side by '45'.
x = 2.333333333

Simplifying
x = 2.333333333

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