5[x+3]=4-[x-5]

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Solution for 5[x+3]=4-[x-5] equation:


Simplifying
5[x + 3] = 4 + -1[x + -5]

Reorder the terms:
5[3 + x] = 4 + -1[x + -5]
[3 * 5 + x * 5] = 4 + -1[x + -5]
[15 + 5x] = 4 + -1[x + -5]

Reorder the terms:
15 + 5x = 4 + -1[-5 + x]
15 + 5x = 4 + [-5 * -1 + x * -1]
15 + 5x = 4 + [5 + -1x]

Combine like terms: 4 + 5 = 9
15 + 5x = 9 + -1x

Solving
15 + 5x = 9 + -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.
15 + 5x + x = 9 + -1x + x

Combine like terms: 5x + x = 6x
15 + 6x = 9 + -1x + x

Combine like terms: -1x + x = 0
15 + 6x = 9 + 0
15 + 6x = 9

Add '-15' to each side of the equation.
15 + -15 + 6x = 9 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 9 + -15
6x = 9 + -15

Combine like terms: 9 + -15 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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