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

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


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

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

Reorder the terms:
5 + -3 + -1x + 3(5 + x) + -4(x + 1) = 4 + 2x + -3(x + 1)
5 + -3 + -1x + (5 * 3 + x * 3) + -4(x + 1) = 4 + 2x + -3(x + 1)
5 + -3 + -1x + (15 + 3x) + -4(x + 1) = 4 + 2x + -3(x + 1)

Reorder the terms:
5 + -3 + -1x + 15 + 3x + -4(1 + x) = 4 + 2x + -3(x + 1)
5 + -3 + -1x + 15 + 3x + (1 * -4 + x * -4) = 4 + 2x + -3(x + 1)
5 + -3 + -1x + 15 + 3x + (-4 + -4x) = 4 + 2x + -3(x + 1)

Reorder the terms:
5 + -3 + 15 + -4 + -1x + 3x + -4x = 4 + 2x + -3(x + 1)

Combine like terms: 5 + -3 = 2
2 + 15 + -4 + -1x + 3x + -4x = 4 + 2x + -3(x + 1)

Combine like terms: 2 + 15 = 17
17 + -4 + -1x + 3x + -4x = 4 + 2x + -3(x + 1)

Combine like terms: 17 + -4 = 13
13 + -1x + 3x + -4x = 4 + 2x + -3(x + 1)

Combine like terms: -1x + 3x = 2x
13 + 2x + -4x = 4 + 2x + -3(x + 1)

Combine like terms: 2x + -4x = -2x
13 + -2x = 4 + 2x + -3(x + 1)

Reorder the terms:
13 + -2x = 4 + 2x + -3(1 + x)
13 + -2x = 4 + 2x + (1 * -3 + x * -3)
13 + -2x = 4 + 2x + (-3 + -3x)

Reorder the terms:
13 + -2x = 4 + -3 + 2x + -3x

Combine like terms: 4 + -3 = 1
13 + -2x = 1 + 2x + -3x

Combine like terms: 2x + -3x = -1x
13 + -2x = 1 + -1x

Solving
13 + -2x = 1 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
13 + -2x + x = 1 + -1x + x

Combine like terms: -2x + x = -1x
13 + -1x = 1 + -1x + x

Combine like terms: -1x + x = 0
13 + -1x = 1 + 0
13 + -1x = 1

Add '-13' to each side of the equation.
13 + -13 + -1x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 1 + -13
-1x = 1 + -13

Combine like terms: 1 + -13 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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