4x+14=8x-6

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Solution for 4x+14=8x-6 equation:


Simplifying
4x + 14 = 8x + -6

Reorder the terms:
14 + 4x = 8x + -6

Reorder the terms:
14 + 4x = -6 + 8x

Solving
14 + 4x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 4x + -8x = -6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
14 + -4x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -4x = -6 + 0
14 + -4x = -6

Add '-14' to each side of the equation.
14 + -14 + -4x = -6 + -14

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

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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