14(x+1)=2(3x-8)

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Solution for 14(x+1)=2(3x-8) equation:


Simplifying
14(x + 1) = 2(3x + -8)

Reorder the terms:
14(1 + x) = 2(3x + -8)
(1 * 14 + x * 14) = 2(3x + -8)
(14 + 14x) = 2(3x + -8)

Reorder the terms:
14 + 14x = 2(-8 + 3x)
14 + 14x = (-8 * 2 + 3x * 2)
14 + 14x = (-16 + 6x)

Solving
14 + 14x = -16 + 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.
14 + 14x + -6x = -16 + 6x + -6x

Combine like terms: 14x + -6x = 8x
14 + 8x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + 8x = -16 + 0
14 + 8x = -16

Add '-14' to each side of the equation.
14 + -14 + 8x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = -16 + -14
8x = -16 + -14

Combine like terms: -16 + -14 = -30
8x = -30

Divide each side by '8'.
x = -3.75

Simplifying
x = -3.75

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