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

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


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

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

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

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

Combine like terms: -2 + 12 = 10
10 + 2x + 3x = 4(x + 4) + -1(x + -5)

Combine like terms: 2x + 3x = 5x
10 + 5x = 4(x + 4) + -1(x + -5)

Reorder the terms:
10 + 5x = 4(4 + x) + -1(x + -5)
10 + 5x = (4 * 4 + x * 4) + -1(x + -5)
10 + 5x = (16 + 4x) + -1(x + -5)

Reorder the terms:
10 + 5x = 16 + 4x + -1(-5 + x)
10 + 5x = 16 + 4x + (-5 * -1 + x * -1)
10 + 5x = 16 + 4x + (5 + -1x)

Reorder the terms:
10 + 5x = 16 + 5 + 4x + -1x

Combine like terms: 16 + 5 = 21
10 + 5x = 21 + 4x + -1x

Combine like terms: 4x + -1x = 3x
10 + 5x = 21 + 3x

Solving
10 + 5x = 21 + 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.
10 + 5x + -3x = 21 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 21 + 0
10 + 2x = 21

Add '-10' to each side of the equation.
10 + -10 + 2x = 21 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 21 + -10
2x = 21 + -10

Combine like terms: 21 + -10 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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