2(x+4)+4(2x+5)=48

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Solution for 2(x+4)+4(2x+5)=48 equation:


Simplifying
2(x + 4) + 4(2x + 5) = 48

Reorder the terms:
2(4 + x) + 4(2x + 5) = 48
(4 * 2 + x * 2) + 4(2x + 5) = 48
(8 + 2x) + 4(2x + 5) = 48

Reorder the terms:
8 + 2x + 4(5 + 2x) = 48
8 + 2x + (5 * 4 + 2x * 4) = 48
8 + 2x + (20 + 8x) = 48

Reorder the terms:
8 + 20 + 2x + 8x = 48

Combine like terms: 8 + 20 = 28
28 + 2x + 8x = 48

Combine like terms: 2x + 8x = 10x
28 + 10x = 48

Solving
28 + 10x = 48

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 10x = 48 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = 48 + -28
10x = 48 + -28

Combine like terms: 48 + -28 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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