3(3x+2)+4(2x+2)=48

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Solution for 3(3x+2)+4(2x+2)=48 equation:


Simplifying
3(3x + 2) + 4(2x + 2) = 48

Reorder the terms:
3(2 + 3x) + 4(2x + 2) = 48
(2 * 3 + 3x * 3) + 4(2x + 2) = 48
(6 + 9x) + 4(2x + 2) = 48

Reorder the terms:
6 + 9x + 4(2 + 2x) = 48
6 + 9x + (2 * 4 + 2x * 4) = 48
6 + 9x + (8 + 8x) = 48

Reorder the terms:
6 + 8 + 9x + 8x = 48

Combine like terms: 6 + 8 = 14
14 + 9x + 8x = 48

Combine like terms: 9x + 8x = 17x
14 + 17x = 48

Solving
14 + 17x = 48

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 17x = 48 + -14

Combine like terms: 14 + -14 = 0
0 + 17x = 48 + -14
17x = 48 + -14

Combine like terms: 48 + -14 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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