9(3x+2)+4(x-4)=33

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Solution for 9(3x+2)+4(x-4)=33 equation: 


Simplifying
9(3x + 2) + 4(x + -4) = 33

Reorder the terms:
9(2 + 3x) + 4(x + -4) = 33
(2 * 9 + 3x * 9) + 4(x + -4) = 33
(18 + 27x) + 4(x + -4) = 33

Reorder the terms:
18 + 27x + 4(-4 + x) = 33
18 + 27x + (-4 * 4 + x * 4) = 33
18 + 27x + (-16 + 4x) = 33

Reorder the terms:
18 + -16 + 27x + 4x = 33

Combine like terms: 18 + -16 = 2
2 + 27x + 4x = 33

Combine like terms: 27x + 4x = 31x
2 + 31x = 33

Solving
2 + 31x = 33

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 31x = 33 + -2

Combine like terms: 2 + -2 = 0
0 + 31x = 33 + -2
31x = 33 + -2

Combine like terms: 33 + -2 = 31
31x = 31

Divide each side by '31'.
x = 1

Simplifying
x = 1

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