2(x-4)+16x=30-x

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Solution for 2(x-4)+16x=30-x equation:


Simplifying
2(x + -4) + 16x = 30 + -1x

Reorder the terms:
2(-4 + x) + 16x = 30 + -1x
(-4 * 2 + x * 2) + 16x = 30 + -1x
(-8 + 2x) + 16x = 30 + -1x

Combine like terms: 2x + 16x = 18x
-8 + 18x = 30 + -1x

Solving
-8 + 18x = 30 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 18x + x = 30 + -1x + x

Combine like terms: 18x + x = 19x
-8 + 19x = 30 + -1x + x

Combine like terms: -1x + x = 0
-8 + 19x = 30 + 0
-8 + 19x = 30

Add '8' to each side of the equation.
-8 + 8 + 19x = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 19x = 30 + 8
19x = 30 + 8

Combine like terms: 30 + 8 = 38
19x = 38

Divide each side by '19'.
x = 2

Simplifying
x = 2

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