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

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


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

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

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

Solving
8 + 8x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 8x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 6x = -6 + 0
8 + 6x = -6

Add '-8' to each side of the equation.
8 + -8 + 6x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -6 + -8
6x = -6 + -8

Combine like terms: -6 + -8 = -14
6x = -14

Divide each side by '6'.
x = -2.333333333

Simplifying
x = -2.333333333

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