14(4x-2)=3x-6

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Solution for 14(4x-2)=3x-6 equation:


Simplifying
14(4x + -2) = 3x + -6

Reorder the terms:
14(-2 + 4x) = 3x + -6
(-2 * 14 + 4x * 14) = 3x + -6
(-28 + 56x) = 3x + -6

Reorder the terms:
-28 + 56x = -6 + 3x

Solving
-28 + 56x = -6 + 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.
-28 + 56x + -3x = -6 + 3x + -3x

Combine like terms: 56x + -3x = 53x
-28 + 53x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 53x = -6 + 0
-28 + 53x = -6

Add '28' to each side of the equation.
-28 + 28 + 53x = -6 + 28

Combine like terms: -28 + 28 = 0
0 + 53x = -6 + 28
53x = -6 + 28

Combine like terms: -6 + 28 = 22
53x = 22

Divide each side by '53'.
x = 0.4150943396

Simplifying
x = 0.4150943396

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