5x-14=2(4x+2)

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Solution for 5x-14=2(4x+2) equation:


Simplifying
5x + -14 = 2(4x + 2)

Reorder the terms:
-14 + 5x = 2(4x + 2)

Reorder the terms:
-14 + 5x = 2(2 + 4x)
-14 + 5x = (2 * 2 + 4x * 2)
-14 + 5x = (4 + 8x)

Solving
-14 + 5x = 4 + 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 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-14 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + -3x = 4 + 0
-14 + -3x = 4

Add '14' to each side of the equation.
-14 + 14 + -3x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 4 + 14
-3x = 4 + 14

Combine like terms: 4 + 14 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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