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

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


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

Combine like terms: 2 + 4 = 6
6 + -2x = 5 + 3(x + 4)

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

Combine like terms: 5 + 12 = 17
6 + -2x = 17 + 3x

Solving
6 + -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.
6 + -2x + -3x = 17 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x = 17 + 0
6 + -5x = 17

Add '-6' to each side of the equation.
6 + -6 + -5x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 17 + -6
-5x = 17 + -6

Combine like terms: 17 + -6 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

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