3x+6(x+4)=2(x+33)

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Solution for 3x+6(x+4)=2(x+33) equation:


Simplifying
3x + 6(x + 4) = 2(x + 33)

Reorder the terms:
3x + 6(4 + x) = 2(x + 33)
3x + (4 * 6 + x * 6) = 2(x + 33)
3x + (24 + 6x) = 2(x + 33)

Reorder the terms:
24 + 3x + 6x = 2(x + 33)

Combine like terms: 3x + 6x = 9x
24 + 9x = 2(x + 33)

Reorder the terms:
24 + 9x = 2(33 + x)
24 + 9x = (33 * 2 + x * 2)
24 + 9x = (66 + 2x)

Solving
24 + 9x = 66 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 9x + -2x = 66 + 2x + -2x

Combine like terms: 9x + -2x = 7x
24 + 7x = 66 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 7x = 66 + 0
24 + 7x = 66

Add '-24' to each side of the equation.
24 + -24 + 7x = 66 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 66 + -24
7x = 66 + -24

Combine like terms: 66 + -24 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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