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

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


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

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

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

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

Combine like terms: 3x + -1x = 2x
5 + 5x = -5 + 2x

Solving
5 + 5x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 5x + -2x = -5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + 3x = -5 + 0
5 + 3x = -5

Add '-5' to each side of the equation.
5 + -5 + 3x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -5 + -5
3x = -5 + -5

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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