2(x-23)=46-4(x-4)

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Solution for 2(x-23)=46-4(x-4) equation: 


Simplifying
2(x + -23) = 46 + -4(x + -4)

Reorder the terms:
2(-23 + x) = 46 + -4(x + -4)
(-23 * 2 + x * 2) = 46 + -4(x + -4)
(-46 + 2x) = 46 + -4(x + -4)

Reorder the terms:
-46 + 2x = 46 + -4(-4 + x)
-46 + 2x = 46 + (-4 * -4 + x * -4)
-46 + 2x = 46 + (16 + -4x)

Combine like terms: 46 + 16 = 62
-46 + 2x = 62 + -4x

Solving
-46 + 2x = 62 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-46 + 2x + 4x = 62 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-46 + 6x = 62 + -4x + 4x

Combine like terms: -4x + 4x = 0
-46 + 6x = 62 + 0
-46 + 6x = 62

Add '46' to each side of the equation.
-46 + 46 + 6x = 62 + 46

Combine like terms: -46 + 46 = 0
0 + 6x = 62 + 46
6x = 62 + 46

Combine like terms: 62 + 46 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18

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