4(3x+3)-(x-5)=92

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Solution for 4(3x+3)-(x-5)=92 equation:


Simplifying
4(3x + 3) + -1(x + -5) = 92

Reorder the terms:
4(3 + 3x) + -1(x + -5) = 92
(3 * 4 + 3x * 4) + -1(x + -5) = 92
(12 + 12x) + -1(x + -5) = 92

Reorder the terms:
12 + 12x + -1(-5 + x) = 92
12 + 12x + (-5 * -1 + x * -1) = 92
12 + 12x + (5 + -1x) = 92

Reorder the terms:
12 + 5 + 12x + -1x = 92

Combine like terms: 12 + 5 = 17
17 + 12x + -1x = 92

Combine like terms: 12x + -1x = 11x
17 + 11x = 92

Solving
17 + 11x = 92

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 11x = 92 + -17

Combine like terms: 17 + -17 = 0
0 + 11x = 92 + -17
11x = 92 + -17

Combine like terms: 92 + -17 = 75
11x = 75

Divide each side by '11'.
x = 6.818181818

Simplifying
x = 6.818181818

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