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

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


Simplifying
6(5 + 6x) + -1(5x + 6) * 7 = 3
(5 * 6 + 6x * 6) + -1(5x + 6) * 7 = 3
(30 + 36x) + -1(5x + 6) * 7 = 3

Reorder the terms:
30 + 36x + -1(6 + 5x) * 7 = 3

Reorder the terms for easier multiplication:
30 + 36x + -1 * 7(6 + 5x) = 3

Multiply -1 * 7
30 + 36x + -7(6 + 5x) = 3
30 + 36x + (6 * -7 + 5x * -7) = 3
30 + 36x + (-42 + -35x) = 3

Reorder the terms:
30 + -42 + 36x + -35x = 3

Combine like terms: 30 + -42 = -12
-12 + 36x + -35x = 3

Combine like terms: 36x + -35x = 1x
-12 + 1x = 3

Solving
-12 + 1x = 3

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 1x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 3 + 12
1x = 3 + 12

Combine like terms: 3 + 12 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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