-6(x-6)-2(5-9x)=11(x+3)+5

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Solution for -6(x-6)-2(5-9x)=11(x+3)+5 equation:


Simplifying
-6(x + -6) + -2(5 + -9x) = 11(x + 3) + 5

Reorder the terms:
-6(-6 + x) + -2(5 + -9x) = 11(x + 3) + 5
(-6 * -6 + x * -6) + -2(5 + -9x) = 11(x + 3) + 5
(36 + -6x) + -2(5 + -9x) = 11(x + 3) + 5
36 + -6x + (5 * -2 + -9x * -2) = 11(x + 3) + 5
36 + -6x + (-10 + 18x) = 11(x + 3) + 5

Reorder the terms:
36 + -10 + -6x + 18x = 11(x + 3) + 5

Combine like terms: 36 + -10 = 26
26 + -6x + 18x = 11(x + 3) + 5

Combine like terms: -6x + 18x = 12x
26 + 12x = 11(x + 3) + 5

Reorder the terms:
26 + 12x = 11(3 + x) + 5
26 + 12x = (3 * 11 + x * 11) + 5
26 + 12x = (33 + 11x) + 5

Reorder the terms:
26 + 12x = 33 + 5 + 11x

Combine like terms: 33 + 5 = 38
26 + 12x = 38 + 11x

Solving
26 + 12x = 38 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
26 + 12x + -11x = 38 + 11x + -11x

Combine like terms: 12x + -11x = 1x
26 + 1x = 38 + 11x + -11x

Combine like terms: 11x + -11x = 0
26 + 1x = 38 + 0
26 + 1x = 38

Add '-26' to each side of the equation.
26 + -26 + 1x = 38 + -26

Combine like terms: 26 + -26 = 0
0 + 1x = 38 + -26
1x = 38 + -26

Combine like terms: 38 + -26 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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