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

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


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

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

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

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

Combine like terms: -44 + -16 = -60
-60 + 2x + 4x = 42

Combine like terms: 2x + 4x = 6x
-60 + 6x = 42

Solving
-60 + 6x = 42

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 6x = 42 + 60

Combine like terms: -60 + 60 = 0
0 + 6x = 42 + 60
6x = 42 + 60

Combine like terms: 42 + 60 = 102
6x = 102

Divide each side by '6'.
x = 17

Simplifying
x = 17

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