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

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


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

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

Reorder the terms:
2 + 2x + 3(4 + x) = 4(x + 1) + -1(x + -5)
2 + 2x + (4 * 3 + x * 3) = 4(x + 1) + -1(x + -5)
2 + 2x + (12 + 3x) = 4(x + 1) + -1(x + -5)

Reorder the terms:
2 + 12 + 2x + 3x = 4(x + 1) + -1(x + -5)

Combine like terms: 2 + 12 = 14
14 + 2x + 3x = 4(x + 1) + -1(x + -5)

Combine like terms: 2x + 3x = 5x
14 + 5x = 4(x + 1) + -1(x + -5)

Reorder the terms:
14 + 5x = 4(1 + x) + -1(x + -5)
14 + 5x = (1 * 4 + x * 4) + -1(x + -5)
14 + 5x = (4 + 4x) + -1(x + -5)

Reorder the terms:
14 + 5x = 4 + 4x + -1(-5 + x)
14 + 5x = 4 + 4x + (-5 * -1 + x * -1)
14 + 5x = 4 + 4x + (5 + -1x)

Reorder the terms:
14 + 5x = 4 + 5 + 4x + -1x

Combine like terms: 4 + 5 = 9
14 + 5x = 9 + 4x + -1x

Combine like terms: 4x + -1x = 3x
14 + 5x = 9 + 3x

Solving
14 + 5x = 9 + 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.
14 + 5x + -3x = 9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
14 + 2x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 2x = 9 + 0
14 + 2x = 9

Add '-14' to each side of the equation.
14 + -14 + 2x = 9 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 9 + -14
2x = 9 + -14

Combine like terms: 9 + -14 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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