12(3x+5)-(2+3x)7=346

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Solution for 12(3x+5)-(2+3x)7=346 equation:


Simplifying
12(3x + 5) + -1(2 + 3x) * 7 = 346

Reorder the terms:
12(5 + 3x) + -1(2 + 3x) * 7 = 346
(5 * 12 + 3x * 12) + -1(2 + 3x) * 7 = 346
(60 + 36x) + -1(2 + 3x) * 7 = 346

Reorder the terms for easier multiplication:
60 + 36x + -1 * 7(2 + 3x) = 346

Multiply -1 * 7
60 + 36x + -7(2 + 3x) = 346
60 + 36x + (2 * -7 + 3x * -7) = 346
60 + 36x + (-14 + -21x) = 346

Reorder the terms:
60 + -14 + 36x + -21x = 346

Combine like terms: 60 + -14 = 46
46 + 36x + -21x = 346

Combine like terms: 36x + -21x = 15x
46 + 15x = 346

Solving
46 + 15x = 346

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + 15x = 346 + -46

Combine like terms: 46 + -46 = 0
0 + 15x = 346 + -46
15x = 346 + -46

Combine like terms: 346 + -46 = 300
15x = 300

Divide each side by '15'.
x = 20

Simplifying
x = 20

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