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

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


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

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

Reorder the terms:
-4 + 4x = 5(5 + x)
-4 + 4x = (5 * 5 + x * 5)
-4 + 4x = (25 + 5x)

Solving
-4 + 4x = 25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 4x + -5x = 25 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-4 + -1x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -1x = 25 + 0
-4 + -1x = 25

Add '4' to each side of the equation.
-4 + 4 + -1x = 25 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 25 + 4
-1x = 25 + 4

Combine like terms: 25 + 4 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

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