2(x-22)=42-4(x-4)

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Solution for 2(x-22)=42-4(x-4) equation:


Simplifying
2(x + -22) = 42 + -4(x + -4)

Reorder the terms:
2(-22 + x) = 42 + -4(x + -4)
(-22 * 2 + x * 2) = 42 + -4(x + -4)
(-44 + 2x) = 42 + -4(x + -4)

Reorder the terms:
-44 + 2x = 42 + -4(-4 + x)
-44 + 2x = 42 + (-4 * -4 + x * -4)
-44 + 2x = 42 + (16 + -4x)

Combine like terms: 42 + 16 = 58
-44 + 2x = 58 + -4x

Solving
-44 + 2x = 58 + -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.
-44 + 2x + 4x = 58 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-44 + 6x = 58 + -4x + 4x

Combine like terms: -4x + 4x = 0
-44 + 6x = 58 + 0
-44 + 6x = 58

Add '44' to each side of the equation.
-44 + 44 + 6x = 58 + 44

Combine like terms: -44 + 44 = 0
0 + 6x = 58 + 44
6x = 58 + 44

Combine like terms: 58 + 44 = 102
6x = 102

Divide each side by '6'.
x = 17

Simplifying
x = 17

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