2(x+3)+8(x-1)=8

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Solution for 2(x+3)+8(x-1)=8 equation: 


Simplifying
2(x + 3) + 8(x + -1) = 8

Reorder the terms:
2(3 + x) + 8(x + -1) = 8
(3 * 2 + x * 2) + 8(x + -1) = 8
(6 + 2x) + 8(x + -1) = 8

Reorder the terms:
6 + 2x + 8(-1 + x) = 8
6 + 2x + (-1 * 8 + x * 8) = 8
6 + 2x + (-8 + 8x) = 8

Reorder the terms:
6 + -8 + 2x + 8x = 8

Combine like terms: 6 + -8 = -2
-2 + 2x + 8x = 8

Combine like terms: 2x + 8x = 10x
-2 + 10x = 8

Solving
-2 + 10x = 8

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 10x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 8 + 2
10x = 8 + 2

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

Divide each side by '10'.
x = 1

Simplifying
x = 1

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