6x+10=2x-14

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


Simplifying
6x + 10 = 2x + -14

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

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

Solving
10 + 6x = -14 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 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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