9*(3x+8)-4*(11+6x)=10

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Solution for 9*(3x+8)-4*(11+6x)=10 equation:


Simplifying
9(3x + 8) + -4(11 + 6x) = 10

Reorder the terms:
9(8 + 3x) + -4(11 + 6x) = 10
(8 * 9 + 3x * 9) + -4(11 + 6x) = 10
(72 + 27x) + -4(11 + 6x) = 10
72 + 27x + (11 * -4 + 6x * -4) = 10
72 + 27x + (-44 + -24x) = 10

Reorder the terms:
72 + -44 + 27x + -24x = 10

Combine like terms: 72 + -44 = 28
28 + 27x + -24x = 10

Combine like terms: 27x + -24x = 3x
28 + 3x = 10

Solving
28 + 3x = 10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 3x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = 10 + -28
3x = 10 + -28

Combine like terms: 10 + -28 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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