2(5x-1)=8(x+1)

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Solution for 2(5x-1)=8(x+1) equation:


Simplifying
2(5x + -1) = 8(x + 1)

Reorder the terms:
2(-1 + 5x) = 8(x + 1)
(-1 * 2 + 5x * 2) = 8(x + 1)
(-2 + 10x) = 8(x + 1)

Reorder the terms:
-2 + 10x = 8(1 + x)
-2 + 10x = (1 * 8 + x * 8)
-2 + 10x = (8 + 8x)

Solving
-2 + 10x = 8 + 8x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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