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

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


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

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

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

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

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

Solving
5 + 5x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 5x + -1x = -4 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
5 + 4x = -4 + 0
5 + 4x = -4

Add '-5' to each side of the equation.
5 + -5 + 4x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -4 + -5
4x = -4 + -5

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

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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