46=6x-4(x-16)

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Solution for 46=6x-4(x-16) equation:


Simplifying
46 = 6x + -4(x + -16)

Reorder the terms:
46 = 6x + -4(-16 + x)
46 = 6x + (-16 * -4 + x * -4)
46 = 6x + (64 + -4x)

Reorder the terms:
46 = 64 + 6x + -4x

Combine like terms: 6x + -4x = 2x
46 = 64 + 2x

Solving
46 = 64 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
46 + -2x = 64 + 2x + -2x

Combine like terms: 2x + -2x = 0
46 + -2x = 64 + 0
46 + -2x = 64

Add '-46' to each side of the equation.
46 + -46 + -2x = 64 + -46

Combine like terms: 46 + -46 = 0
0 + -2x = 64 + -46
-2x = 64 + -46

Combine like terms: 64 + -46 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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