4(2x+1)+(9x+6)=44

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Solution for 4(2x+1)+(9x+6)=44 equation:


Simplifying
4(2x + 1) + (9x + 6) = 44

Reorder the terms:
4(1 + 2x) + (9x + 6) = 44
(1 * 4 + 2x * 4) + (9x + 6) = 44
(4 + 8x) + (9x + 6) = 44

Reorder the terms:
4 + 8x + (6 + 9x) = 44

Remove parenthesis around (6 + 9x)
4 + 8x + 6 + 9x = 44

Reorder the terms:
4 + 6 + 8x + 9x = 44

Combine like terms: 4 + 6 = 10
10 + 8x + 9x = 44

Combine like terms: 8x + 9x = 17x
10 + 17x = 44

Solving
10 + 17x = 44

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 17x = 44 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 44 + -10
17x = 44 + -10

Combine like terms: 44 + -10 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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