4(1-x)=(3x-14)

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Solution for 4(1-x)=(3x-14) equation:


Simplifying
4(1 + -1x) = (3x + -14)
(1 * 4 + -1x * 4) = (3x + -14)
(4 + -4x) = (3x + -14)

Reorder the terms:
4 + -4x = (-14 + 3x)

Remove parenthesis around (-14 + 3x)
4 + -4x = -14 + 3x

Solving
4 + -4x = -14 + 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.
4 + -4x + -3x = -14 + 3x + -3x

Combine like terms: -4x + -3x = -7x
4 + -7x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -7x = -14 + 0
4 + -7x = -14

Add '-4' to each side of the equation.
4 + -4 + -7x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -14 + -4
-7x = -14 + -4

Combine like terms: -14 + -4 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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