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

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Solution for 2(x+1)=5-3(x-4) equation:


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

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

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

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

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

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

Combine like terms: -3x + 3x = 0
2 + 5x = 17 + 0
2 + 5x = 17

Add '-2' to each side of the equation.
2 + -2 + 5x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 17 + -2
5x = 17 + -2

Combine like terms: 17 + -2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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