2(1-4x)-9=3(2-x)

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Solution for 2(1-4x)-9=3(2-x) equation:


Simplifying
2(1 + -4x) + -9 = 3(2 + -1x)
(1 * 2 + -4x * 2) + -9 = 3(2 + -1x)
(2 + -8x) + -9 = 3(2 + -1x)

Reorder the terms:
2 + -9 + -8x = 3(2 + -1x)

Combine like terms: 2 + -9 = -7
-7 + -8x = 3(2 + -1x)
-7 + -8x = (2 * 3 + -1x * 3)
-7 + -8x = (6 + -3x)

Solving
-7 + -8x = 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.
-7 + -8x + 3x = 6 + -3x + 3x

Combine like terms: -8x + 3x = -5x
-7 + -5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + -5x = 6 + 0
-7 + -5x = 6

Add '7' to each side of the equation.
-7 + 7 + -5x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 6 + 7
-5x = 6 + 7

Combine like terms: 6 + 7 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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