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

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


Simplifying
2(x + 7) = 3(3 + -1x) + 8

Reorder the terms:
2(7 + x) = 3(3 + -1x) + 8
(7 * 2 + x * 2) = 3(3 + -1x) + 8
(14 + 2x) = 3(3 + -1x) + 8
14 + 2x = (3 * 3 + -1x * 3) + 8
14 + 2x = (9 + -3x) + 8

Reorder the terms:
14 + 2x = 9 + 8 + -3x

Combine like terms: 9 + 8 = 17
14 + 2x = 17 + -3x

Solving
14 + 2x = 17 + -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.
14 + 2x + 3x = 17 + -3x + 3x

Combine like terms: 2x + 3x = 5x
14 + 5x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 5x = 17 + 0
14 + 5x = 17

Add '-14' to each side of the equation.
14 + -14 + 5x = 17 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 17 + -14
5x = 17 + -14

Combine like terms: 17 + -14 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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