5(x+2)+3(2x+4)=3(2x+16)-1

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Solution for 5(x+2)+3(2x+4)=3(2x+16)-1 equation: 


Simplifying
5(x + 2) + 3(2x + 4) = 3(2x + 16) + -1

Reorder the terms:
5(2 + x) + 3(2x + 4) = 3(2x + 16) + -1
(2 * 5 + x * 5) + 3(2x + 4) = 3(2x + 16) + -1
(10 + 5x) + 3(2x + 4) = 3(2x + 16) + -1

Reorder the terms:
10 + 5x + 3(4 + 2x) = 3(2x + 16) + -1
10 + 5x + (4 * 3 + 2x * 3) = 3(2x + 16) + -1
10 + 5x + (12 + 6x) = 3(2x + 16) + -1

Reorder the terms:
10 + 12 + 5x + 6x = 3(2x + 16) + -1

Combine like terms: 10 + 12 = 22
22 + 5x + 6x = 3(2x + 16) + -1

Combine like terms: 5x + 6x = 11x
22 + 11x = 3(2x + 16) + -1

Reorder the terms:
22 + 11x = 3(16 + 2x) + -1
22 + 11x = (16 * 3 + 2x * 3) + -1
22 + 11x = (48 + 6x) + -1

Reorder the terms:
22 + 11x = 48 + -1 + 6x

Combine like terms: 48 + -1 = 47
22 + 11x = 47 + 6x

Solving
22 + 11x = 47 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + 11x + -6x = 47 + 6x + -6x

Combine like terms: 11x + -6x = 5x
22 + 5x = 47 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + 5x = 47 + 0
22 + 5x = 47

Add '-22' to each side of the equation.
22 + -22 + 5x = 47 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = 47 + -22
5x = 47 + -22

Combine like terms: 47 + -22 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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