4(x+2)=8x-6

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Solution for 4(x+2)=8x-6 equation:


Simplifying
4(x + 2) = 8x + -6

Reorder the terms:
4(2 + x) = 8x + -6
(2 * 4 + x * 4) = 8x + -6
(8 + 4x) = 8x + -6

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + -4x = -6 + -8

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

Combine like terms: -6 + -8 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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