3(2-6x-7x)+5(8x+2)=27

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Solution for 3(2-6x-7x)+5(8x+2)=27 equation:


Simplifying
3(2 + -6x + -7x) + 5(8x + 2) = 27

Combine like terms: -6x + -7x = -13x
3(2 + -13x) + 5(8x + 2) = 27
(2 * 3 + -13x * 3) + 5(8x + 2) = 27
(6 + -39x) + 5(8x + 2) = 27

Reorder the terms:
6 + -39x + 5(2 + 8x) = 27
6 + -39x + (2 * 5 + 8x * 5) = 27
6 + -39x + (10 + 40x) = 27

Reorder the terms:
6 + 10 + -39x + 40x = 27

Combine like terms: 6 + 10 = 16
16 + -39x + 40x = 27

Combine like terms: -39x + 40x = 1x
16 + 1x = 27

Solving
16 + 1x = 27

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 1x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 27 + -16
1x = 27 + -16

Combine like terms: 27 + -16 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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