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

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


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

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

Solving
8 + 2x = 12 + -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 = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
8 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 5x = 12 + 0
8 + 5x = 12

Add '-8' to each side of the equation.
8 + -8 + 5x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 12 + -8
5x = 12 + -8

Combine like terms: 12 + -8 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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