4*(x-3)-16=5*(x-5)

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Solution for 4*(x-3)-16=5*(x-5) equation:


Simplifying
4(x + -3) + -16 = 5(x + -5)

Reorder the terms:
4(-3 + x) + -16 = 5(x + -5)
(-3 * 4 + x * 4) + -16 = 5(x + -5)
(-12 + 4x) + -16 = 5(x + -5)

Reorder the terms:
-12 + -16 + 4x = 5(x + -5)

Combine like terms: -12 + -16 = -28
-28 + 4x = 5(x + -5)

Reorder the terms:
-28 + 4x = 5(-5 + x)
-28 + 4x = (-5 * 5 + x * 5)
-28 + 4x = (-25 + 5x)

Solving
-28 + 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.
-28 + 4x + -5x = -25 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-28 + -1x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-28 + -1x = -25 + 0
-28 + -1x = -25

Add '28' to each side of the equation.
-28 + 28 + -1x = -25 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = -25 + 28
-1x = -25 + 28

Combine like terms: -25 + 28 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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