2x+8=4x-6

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


Simplifying
2x + 8 = 4x + -6

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

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

Solving
8 + 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.
8 + 2x + -4x = -6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -2x = -6 + 0
8 + -2x = -6

Add '-8' to each side of the equation.
8 + -8 + -2x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -6 + -8
-2x = -6 + -8

Combine like terms: -6 + -8 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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