2x-4(x-1)=14x-6

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Solution for 2x-4(x-1)=14x-6 equation:


Simplifying
2x + -4(x + -1) = 14x + -6

Reorder the terms:
2x + -4(-1 + x) = 14x + -6
2x + (-1 * -4 + x * -4) = 14x + -6
2x + (4 + -4x) = 14x + -6

Reorder the terms:
4 + 2x + -4x = 14x + -6

Combine like terms: 2x + -4x = -2x
4 + -2x = 14x + -6

Reorder the terms:
4 + -2x = -6 + 14x

Solving
4 + -2x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
4 + -2x + -14x = -6 + 14x + -14x

Combine like terms: -2x + -14x = -16x
4 + -16x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
4 + -16x = -6 + 0
4 + -16x = -6

Add '-4' to each side of the equation.
4 + -4 + -16x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -16x = -6 + -4
-16x = -6 + -4

Combine like terms: -6 + -4 = -10
-16x = -10

Divide each side by '-16'.
x = 0.625

Simplifying
x = 0.625

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