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

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


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

Reorder the terms:
4(-4 + x) = 5(x + 4)
(-4 * 4 + x * 4) = 5(x + 4)
(-16 + 4x) = 5(x + 4)

Reorder the terms:
-16 + 4x = 5(4 + x)
-16 + 4x = (4 * 5 + x * 5)
-16 + 4x = (20 + 5x)

Solving
-16 + 4x = 20 + 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.
-16 + 4x + -5x = 20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-16 + -1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -1x = 20 + 0
-16 + -1x = 20

Add '16' to each side of the equation.
-16 + 16 + -1x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 20 + 16
-1x = 20 + 16

Combine like terms: 20 + 16 = 36
-1x = 36

Divide each side by '-1'.
x = -36

Simplifying
x = -36

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