(4x-6)=(5x-16)

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Solution for (4x-6)=(5x-16) equation:


Simplifying
(4x + -6) = (5x + -16)

Reorder the terms:
(-6 + 4x) = (5x + -16)

Remove parenthesis around (-6 + 4x)
-6 + 4x = (5x + -16)

Reorder the terms:
-6 + 4x = (-16 + 5x)

Remove parenthesis around (-16 + 5x)
-6 + 4x = -16 + 5x

Solving
-6 + 4x = -16 + 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.
-6 + 4x + -5x = -16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -1x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -1x = -16 + 0
-6 + -1x = -16

Add '6' to each side of the equation.
-6 + 6 + -1x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -16 + 6
-1x = -16 + 6

Combine like terms: -16 + 6 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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