5(x+2)+3(4x+4)=5

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Solution for 5(x+2)+3(4x+4)=5 equation: 


Simplifying
5(x + 2) + 3(4x + 4) = 5

Reorder the terms:
5(2 + x) + 3(4x + 4) = 5
(2 * 5 + x * 5) + 3(4x + 4) = 5
(10 + 5x) + 3(4x + 4) = 5

Reorder the terms:
10 + 5x + 3(4 + 4x) = 5
10 + 5x + (4 * 3 + 4x * 3) = 5
10 + 5x + (12 + 12x) = 5

Reorder the terms:
10 + 12 + 5x + 12x = 5

Combine like terms: 10 + 12 = 22
22 + 5x + 12x = 5

Combine like terms: 5x + 12x = 17x
22 + 17x = 5

Solving
22 + 17x = 5

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 17x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + 17x = 5 + -22
17x = 5 + -22

Combine like terms: 5 + -22 = -17
17x = -17

Divide each side by '17'.
x = -1

Simplifying
x = -1

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