2(8x+4)-5=3(4x+12)+1

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Solution for 2(8x+4)-5=3(4x+12)+1 equation: 


Simplifying
2(8x + 4) + -5 = 3(4x + 12) + 1

Reorder the terms:
2(4 + 8x) + -5 = 3(4x + 12) + 1
(4 * 2 + 8x * 2) + -5 = 3(4x + 12) + 1
(8 + 16x) + -5 = 3(4x + 12) + 1

Reorder the terms:
8 + -5 + 16x = 3(4x + 12) + 1

Combine like terms: 8 + -5 = 3
3 + 16x = 3(4x + 12) + 1

Reorder the terms:
3 + 16x = 3(12 + 4x) + 1
3 + 16x = (12 * 3 + 4x * 3) + 1
3 + 16x = (36 + 12x) + 1

Reorder the terms:
3 + 16x = 36 + 1 + 12x

Combine like terms: 36 + 1 = 37
3 + 16x = 37 + 12x

Solving
3 + 16x = 37 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + 16x + -12x = 37 + 12x + -12x

Combine like terms: 16x + -12x = 4x
3 + 4x = 37 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + 4x = 37 + 0
3 + 4x = 37

Add '-3' to each side of the equation.
3 + -3 + 4x = 37 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 37 + -3
4x = 37 + -3

Combine like terms: 37 + -3 = 34
4x = 34

Divide each side by '4'.
x = 8.5

Simplifying
x = 8.5

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