3(5+6x)-(5x+6)*7=3

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Solution for 3(5+6x)-(5x+6)*7=3 equation:


Simplifying
3(5 + 6x) + -1(5x + 6) * 7 = 3
(5 * 3 + 6x * 3) + -1(5x + 6) * 7 = 3
(15 + 18x) + -1(5x + 6) * 7 = 3

Reorder the terms:
15 + 18x + -1(6 + 5x) * 7 = 3

Reorder the terms for easier multiplication:
15 + 18x + -1 * 7(6 + 5x) = 3

Multiply -1 * 7
15 + 18x + -7(6 + 5x) = 3
15 + 18x + (6 * -7 + 5x * -7) = 3
15 + 18x + (-42 + -35x) = 3

Reorder the terms:
15 + -42 + 18x + -35x = 3

Combine like terms: 15 + -42 = -27
-27 + 18x + -35x = 3

Combine like terms: 18x + -35x = -17x
-27 + -17x = 3

Solving
-27 + -17x = 3

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + -17x = 3 + 27

Combine like terms: -27 + 27 = 0
0 + -17x = 3 + 27
-17x = 3 + 27

Combine like terms: 3 + 27 = 30
-17x = 30

Divide each side by '-17'.
x = -1.764705882

Simplifying
x = -1.764705882

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