2x+10=6x-14

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Solution for 2x+10=6x-14 equation:


Simplifying
2x + 10 = 6x + -14

Reorder the terms:
10 + 2x = 6x + -14

Reorder the terms:
10 + 2x = -14 + 6x

Solving
10 + 2x = -14 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
10 + 2x + -6x = -14 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = -14 + 0
10 + -4x = -14

Add '-10' to each side of the equation.
10 + -10 + -4x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -14 + -10
-4x = -14 + -10

Combine like terms: -14 + -10 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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