3x+10=6x-14

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Solution for 3x+10=6x-14 equation:


Simplifying
3x + 10 = 6x + -14

Reorder the terms:
10 + 3x = 6x + -14

Reorder the terms:
10 + 3x = -14 + 6x

Solving
10 + 3x = -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 + 3x + -6x = -14 + 6x + -6x

Combine like terms: 3x + -6x = -3x
10 + -3x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -3x = -14 + 0
10 + -3x = -14

Add '-10' to each side of the equation.
10 + -10 + -3x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -14 + -10
-3x = -14 + -10

Combine like terms: -14 + -10 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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