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

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


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

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

Reorder the terms:
6 + 2x + 3(4 + x) = 48
6 + 2x + (4 * 3 + x * 3) = 48
6 + 2x + (12 + 3x) = 48

Reorder the terms:
6 + 12 + 2x + 3x = 48

Combine like terms: 6 + 12 = 18
18 + 2x + 3x = 48

Combine like terms: 2x + 3x = 5x
18 + 5x = 48

Solving
18 + 5x = 48

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 5x = 48 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 48 + -18
5x = 48 + -18

Combine like terms: 48 + -18 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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