2(x-8)+8(x+4)=38

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Solution for 2(x-8)+8(x+4)=38 equation: 


Simplifying
2(x + -8) + 8(x + 4) = 38

Reorder the terms:
2(-8 + x) + 8(x + 4) = 38
(-8 * 2 + x * 2) + 8(x + 4) = 38
(-16 + 2x) + 8(x + 4) = 38

Reorder the terms:
-16 + 2x + 8(4 + x) = 38
-16 + 2x + (4 * 8 + x * 8) = 38
-16 + 2x + (32 + 8x) = 38

Reorder the terms:
-16 + 32 + 2x + 8x = 38

Combine like terms: -16 + 32 = 16
16 + 2x + 8x = 38

Combine like terms: 2x + 8x = 10x
16 + 10x = 38

Solving
16 + 10x = 38

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 10x = 38 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = 38 + -16
10x = 38 + -16

Combine like terms: 38 + -16 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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