9x+3(4x-6)=29-(x+3)

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Solution for 9x+3(4x-6)=29-(x+3) equation:


Simplifying
9x + 3(4x + -6) = 29 + -1(x + 3)

Reorder the terms:
9x + 3(-6 + 4x) = 29 + -1(x + 3)
9x + (-6 * 3 + 4x * 3) = 29 + -1(x + 3)
9x + (-18 + 12x) = 29 + -1(x + 3)

Reorder the terms:
-18 + 9x + 12x = 29 + -1(x + 3)

Combine like terms: 9x + 12x = 21x
-18 + 21x = 29 + -1(x + 3)

Reorder the terms:
-18 + 21x = 29 + -1(3 + x)
-18 + 21x = 29 + (3 * -1 + x * -1)
-18 + 21x = 29 + (-3 + -1x)

Combine like terms: 29 + -3 = 26
-18 + 21x = 26 + -1x

Solving
-18 + 21x = 26 + -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.
-18 + 21x + x = 26 + -1x + x

Combine like terms: 21x + x = 22x
-18 + 22x = 26 + -1x + x

Combine like terms: -1x + x = 0
-18 + 22x = 26 + 0
-18 + 22x = 26

Add '18' to each side of the equation.
-18 + 18 + 22x = 26 + 18

Combine like terms: -18 + 18 = 0
0 + 22x = 26 + 18
22x = 26 + 18

Combine like terms: 26 + 18 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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