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

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


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

Reorder the terms:
-4(5 + x) = 5(x + 5)
(5 * -4 + x * -4) = 5(x + 5)
(-20 + -4x) = 5(x + 5)

Reorder the terms:
-20 + -4x = 5(5 + x)
-20 + -4x = (5 * 5 + x * 5)
-20 + -4x = (25 + 5x)

Solving
-20 + -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.
-20 + -4x + -5x = 25 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-20 + -9x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + -9x = 25 + 0
-20 + -9x = 25

Add '20' to each side of the equation.
-20 + 20 + -9x = 25 + 20

Combine like terms: -20 + 20 = 0
0 + -9x = 25 + 20
-9x = 25 + 20

Combine like terms: 25 + 20 = 45
-9x = 45

Divide each side by '-9'.
x = -5

Simplifying
x = -5

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