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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