4(x+5)=8x-6

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Solution for 4(x+5)=8x-6 equation:


Simplifying
4(x + 5) = 8x + -6

Reorder the terms:
4(5 + x) = 8x + -6
(5 * 4 + x * 4) = 8x + -6
(20 + 4x) = 8x + -6

Reorder the terms:
20 + 4x = -6 + 8x

Solving
20 + 4x = -6 + 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 = -6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
20 + -4x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -4x = -6 + 0
20 + -4x = -6

Add '-20' to each side of the equation.
20 + -20 + -4x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -6 + -20
-4x = -6 + -20

Combine like terms: -6 + -20 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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