5(x+1)=4(x-1)+1

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Solution for 5(x+1)=4(x-1)+1 equation:


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

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

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

Reorder the terms:
5 + 5x = -4 + 1 + 4x

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

Solving
5 + 5x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 5x + -4x = -3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + 1x = -3 + 0
5 + 1x = -3

Add '-5' to each side of the equation.
5 + -5 + 1x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -3 + -5
1x = -3 + -5

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

Divide each side by '1'.
x = -8

Simplifying
x = -8

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