6x+3(x-4)=33

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Solution for 6x+3(x-4)=33 equation:


Simplifying
6x + 3(x + -4) = 33

Reorder the terms:
6x + 3(-4 + x) = 33
6x + (-4 * 3 + x * 3) = 33
6x + (-12 + 3x) = 33

Reorder the terms:
-12 + 6x + 3x = 33

Combine like terms: 6x + 3x = 9x
-12 + 9x = 33

Solving
-12 + 9x = 33

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 9x = 33 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 33 + 12
9x = 33 + 12

Combine like terms: 33 + 12 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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