4(x+5)-8=-5-(x+3)

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Solution for 4(x+5)-8=-5-(x+3) equation: 


Simplifying
4(x + 5) + -8 = -5 + -1(x + 3)

Reorder the terms:
4(5 + x) + -8 = -5 + -1(x + 3)
(5 * 4 + x * 4) + -8 = -5 + -1(x + 3)
(20 + 4x) + -8 = -5 + -1(x + 3)

Reorder the terms:
20 + -8 + 4x = -5 + -1(x + 3)

Combine like terms: 20 + -8 = 12
12 + 4x = -5 + -1(x + 3)

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

Combine like terms: -5 + -3 = -8
12 + 4x = -8 + -1x

Solving
12 + 4x = -8 + -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.
12 + 4x + x = -8 + -1x + x

Combine like terms: 4x + x = 5x
12 + 5x = -8 + -1x + x

Combine like terms: -1x + x = 0
12 + 5x = -8 + 0
12 + 5x = -8

Add '-12' to each side of the equation.
12 + -12 + 5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -8 + -12
5x = -8 + -12

Combine like terms: -8 + -12 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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