14x+2(7-2x)=3x-8

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Solution for 14x+2(7-2x)=3x-8 equation:


Simplifying
14x + 2(7 + -2x) = 3x + -8
14x + (7 * 2 + -2x * 2) = 3x + -8
14x + (14 + -4x) = 3x + -8

Reorder the terms:
14 + 14x + -4x = 3x + -8

Combine like terms: 14x + -4x = 10x
14 + 10x = 3x + -8

Reorder the terms:
14 + 10x = -8 + 3x

Solving
14 + 10x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 10x + -3x = -8 + 3x + -3x

Combine like terms: 10x + -3x = 7x
14 + 7x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 7x = -8 + 0
14 + 7x = -8

Add '-14' to each side of the equation.
14 + -14 + 7x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = -8 + -14
7x = -8 + -14

Combine like terms: -8 + -14 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143

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