3(x+4)+8x=3(5+3x)+5

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Solution for 3(x+4)+8x=3(5+3x)+5 equation: 


Simplifying
3(x + 4) + 8x = 3(5 + 3x) + 5

Reorder the terms:
3(4 + x) + 8x = 3(5 + 3x) + 5
(4 * 3 + x * 3) + 8x = 3(5 + 3x) + 5
(12 + 3x) + 8x = 3(5 + 3x) + 5

Combine like terms: 3x + 8x = 11x
12 + 11x = 3(5 + 3x) + 5
12 + 11x = (5 * 3 + 3x * 3) + 5
12 + 11x = (15 + 9x) + 5

Reorder the terms:
12 + 11x = 15 + 5 + 9x

Combine like terms: 15 + 5 = 20
12 + 11x = 20 + 9x

Solving
12 + 11x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 11x + -9x = 20 + 9x + -9x

Combine like terms: 11x + -9x = 2x
12 + 2x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + 2x = 20 + 0
12 + 2x = 20

Add '-12' to each side of the equation.
12 + -12 + 2x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 20 + -12
2x = 20 + -12

Combine like terms: 20 + -12 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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