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

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


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

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

Reorder the terms:
-10 + -6 + 2x = 4x + 8

Combine like terms: -10 + -6 = -16
-16 + 2x = 4x + 8

Reorder the terms:
-16 + 2x = 8 + 4x

Solving
-16 + 2x = 8 + 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.
-16 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-16 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -2x = 8 + 0
-16 + -2x = 8

Add '16' to each side of the equation.
-16 + 16 + -2x = 8 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 8 + 16
-2x = 8 + 16

Combine like terms: 8 + 16 = 24
-2x = 24

Divide each side by '-2'.
x = -12

Simplifying
x = -12

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