2+8(x+2)=3(x+14)+7

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Solution for 2+8(x+2)=3(x+14)+7 equation: 


Simplifying
2 + 8(x + 2) = 3(x + 14) + 7

Reorder the terms:
2 + 8(2 + x) = 3(x + 14) + 7
2 + (2 * 8 + x * 8) = 3(x + 14) + 7
2 + (16 + 8x) = 3(x + 14) + 7

Combine like terms: 2 + 16 = 18
18 + 8x = 3(x + 14) + 7

Reorder the terms:
18 + 8x = 3(14 + x) + 7
18 + 8x = (14 * 3 + x * 3) + 7
18 + 8x = (42 + 3x) + 7

Reorder the terms:
18 + 8x = 42 + 7 + 3x

Combine like terms: 42 + 7 = 49
18 + 8x = 49 + 3x

Solving
18 + 8x = 49 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 8x + -3x = 49 + 3x + -3x

Combine like terms: 8x + -3x = 5x
18 + 5x = 49 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 5x = 49 + 0
18 + 5x = 49

Add '-18' to each side of the equation.
18 + -18 + 5x = 49 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 49 + -18
5x = 49 + -18

Combine like terms: 49 + -18 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

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