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

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


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

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

Reorder the terms:
8 + 2x = 4 + -3 + 5 + -3x

Combine like terms: 4 + -3 = 1
8 + 2x = 1 + 5 + -3x

Combine like terms: 1 + 5 = 6
8 + 2x = 6 + -3x

Solving
8 + 2x = 6 + -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.
8 + 2x + 3x = 6 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 6 + 0
8 + 5x = 6

Add '-8' to each side of the equation.
8 + -8 + 5x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 6 + -8
5x = 6 + -8

Combine like terms: 6 + -8 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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