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

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


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

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

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

Solving
5 + 5x = -4 + 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 = -4 + 4x + -4x

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

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

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

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

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

Divide each side by '1'.
x = -9

Simplifying
x = -9

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