4(x+5)=8x-2

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Solution for 4(x+5)=8x-2 equation:


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

Reorder the terms:
4(5 + x) = 8x + -2
(5 * 4 + x * 4) = 8x + -2
(20 + 4x) = 8x + -2

Reorder the terms:
20 + 4x = -2 + 8x

Solving
20 + 4x = -2 + 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.
20 + 4x + -8x = -2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
20 + -4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -4x = -2 + 0
20 + -4x = -2

Add '-20' to each side of the equation.
20 + -20 + -4x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -2 + -20
-4x = -2 + -20

Combine like terms: -2 + -20 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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