14x-1=(1-2x)(-3)+12

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Solution for 14x-1=(1-2x)(-3)+12 equation: 


Simplifying
14x + -1 = (1 + -2x)(-3) + 12

Reorder the terms:
-1 + 14x = (1 + -2x)(-3) + 12

Reorder the terms for easier multiplication:
-1 + 14x = -3(1 + -2x) + 12
-1 + 14x = (1 * -3 + -2x * -3) + 12
-1 + 14x = (-3 + 6x) + 12

Reorder the terms:
-1 + 14x = -3 + 12 + 6x

Combine like terms: -3 + 12 = 9
-1 + 14x = 9 + 6x

Solving
-1 + 14x = 9 + 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.
-1 + 14x + -6x = 9 + 6x + -6x

Combine like terms: 14x + -6x = 8x
-1 + 8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 8x = 9 + 0
-1 + 8x = 9

Add '1' to each side of the equation.
-1 + 1 + 8x = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 9 + 1
8x = 9 + 1

Combine like terms: 9 + 1 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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