8-2(x-5)=4x+6

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Solution for 8-2(x-5)=4x+6 equation:


Simplifying
8 + -2(x + -5) = 4x + 6

Reorder the terms:
8 + -2(-5 + x) = 4x + 6
8 + (-5 * -2 + x * -2) = 4x + 6
8 + (10 + -2x) = 4x + 6

Combine like terms: 8 + 10 = 18
18 + -2x = 4x + 6

Reorder the terms:
18 + -2x = 6 + 4x

Solving
18 + -2x = 6 + 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.
18 + -2x + -4x = 6 + 4x + -4x

Combine like terms: -2x + -4x = -6x
18 + -6x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -6x = 6 + 0
18 + -6x = 6

Add '-18' to each side of the equation.
18 + -18 + -6x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 6 + -18
-6x = 6 + -18

Combine like terms: 6 + -18 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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