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

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


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

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

Reorder the terms:
8 + 8x = 2(-5 + 2x)
8 + 8x = (-5 * 2 + 2x * 2)
8 + 8x = (-10 + 4x)

Solving
8 + 8x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 8x + -4x = -10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
8 + 4x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 4x = -10 + 0
8 + 4x = -10

Add '-8' to each side of the equation.
8 + -8 + 4x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -10 + -8
4x = -10 + -8

Combine like terms: -10 + -8 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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