(9x-7)-11=18+3(4x-20)

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Solution for (9x-7)-11=18+3(4x-20) equation:


Simplifying
(9x + -7) + -11 = 18 + 3(4x + -20)

Reorder the terms:
(-7 + 9x) + -11 = 18 + 3(4x + -20)

Remove parenthesis around (-7 + 9x)
-7 + 9x + -11 = 18 + 3(4x + -20)

Reorder the terms:
-7 + -11 + 9x = 18 + 3(4x + -20)

Combine like terms: -7 + -11 = -18
-18 + 9x = 18 + 3(4x + -20)

Reorder the terms:
-18 + 9x = 18 + 3(-20 + 4x)
-18 + 9x = 18 + (-20 * 3 + 4x * 3)
-18 + 9x = 18 + (-60 + 12x)

Combine like terms: 18 + -60 = -42
-18 + 9x = -42 + 12x

Solving
-18 + 9x = -42 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-18 + 9x + -12x = -42 + 12x + -12x

Combine like terms: 9x + -12x = -3x
-18 + -3x = -42 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -3x = -42 + 0
-18 + -3x = -42

Add '18' to each side of the equation.
-18 + 18 + -3x = -42 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = -42 + 18
-3x = -42 + 18

Combine like terms: -42 + 18 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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