7(3x-6)=11-(x+2)

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Solution for 7(3x-6)=11-(x+2) equation:


Simplifying
7(3x + -6) = 11 + -1(x + 2)

Reorder the terms:
7(-6 + 3x) = 11 + -1(x + 2)
(-6 * 7 + 3x * 7) = 11 + -1(x + 2)
(-42 + 21x) = 11 + -1(x + 2)

Reorder the terms:
-42 + 21x = 11 + -1(2 + x)
-42 + 21x = 11 + (2 * -1 + x * -1)
-42 + 21x = 11 + (-2 + -1x)

Combine like terms: 11 + -2 = 9
-42 + 21x = 9 + -1x

Solving
-42 + 21x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-42 + 21x + x = 9 + -1x + x

Combine like terms: 21x + x = 22x
-42 + 22x = 9 + -1x + x

Combine like terms: -1x + x = 0
-42 + 22x = 9 + 0
-42 + 22x = 9

Add '42' to each side of the equation.
-42 + 42 + 22x = 9 + 42

Combine like terms: -42 + 42 = 0
0 + 22x = 9 + 42
22x = 9 + 42

Combine like terms: 9 + 42 = 51
22x = 51

Divide each side by '22'.
x = 2.318181818

Simplifying
x = 2.318181818

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