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

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


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

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

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

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

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

Solving
8 + 5x = -3 + 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.
8 + 5x + -3x = -3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
8 + 2x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 2x = -3 + 0
8 + 2x = -3

Add '-8' to each side of the equation.
8 + -8 + 2x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = -3 + -8
2x = -3 + -8

Combine like terms: -3 + -8 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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