46=28-2(x-4)

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Solution for 46=28-2(x-4) equation:


Simplifying
46 = 28 + -2(x + -4)

Reorder the terms:
46 = 28 + -2(-4 + x)
46 = 28 + (-4 * -2 + x * -2)
46 = 28 + (8 + -2x)

Combine like terms: 28 + 8 = 36
46 = 36 + -2x

Solving
46 = 36 + -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 = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
46 + 2x = 36 + 0
46 + 2x = 36

Add '-46' to each side of the equation.
46 + -46 + 2x = 36 + -46

Combine like terms: 46 + -46 = 0
0 + 2x = 36 + -46
2x = 36 + -46

Combine like terms: 36 + -46 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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