2(9x-1)+7(x+6)=-6

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Solution for 2(9x-1)+7(x+6)=-6 equation:


Simplifying
2(9x + -1) + 7(x + 6) = -6

Reorder the terms:
2(-1 + 9x) + 7(x + 6) = -6
(-1 * 2 + 9x * 2) + 7(x + 6) = -6
(-2 + 18x) + 7(x + 6) = -6

Reorder the terms:
-2 + 18x + 7(6 + x) = -6
-2 + 18x + (6 * 7 + x * 7) = -6
-2 + 18x + (42 + 7x) = -6

Reorder the terms:
-2 + 42 + 18x + 7x = -6

Combine like terms: -2 + 42 = 40
40 + 18x + 7x = -6

Combine like terms: 18x + 7x = 25x
40 + 25x = -6

Solving
40 + 25x = -6

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 25x = -6 + -40

Combine like terms: 40 + -40 = 0
0 + 25x = -6 + -40
25x = -6 + -40

Combine like terms: -6 + -40 = -46
25x = -46

Divide each side by '25'.
x = -1.84

Simplifying
x = -1.84

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