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

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Solution for 2(x+1)=3(4-x) equation: 


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

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

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

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

Combine like terms: -3x + 3x = 0
2 + 5x = 12 + 0
2 + 5x = 12

Add '-2' to each side of the equation.
2 + -2 + 5x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 12 + -2
5x = 12 + -2

Combine like terms: 12 + -2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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