2x-6+8=4x+2-10

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Solution for 2x-6+8=4x+2-10 equation:


Simplifying
2x + -6 + 8 = 4x + 2 + -10

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

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

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

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

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

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

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

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

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

Combine like terms: -8 + -2 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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