(2x-1)*6=(4-x)*3

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Solution for (2x-1)*6=(4-x)*3 equation:


Simplifying
(2x + -1) * 6 = (4 + -1x) * 3

Reorder the terms:
(-1 + 2x) * 6 = (4 + -1x) * 3

Reorder the terms for easier multiplication:
6(-1 + 2x) = (4 + -1x) * 3
(-1 * 6 + 2x * 6) = (4 + -1x) * 3
(-6 + 12x) = (4 + -1x) * 3

Reorder the terms for easier multiplication:
-6 + 12x = 3(4 + -1x)
-6 + 12x = (4 * 3 + -1x * 3)
-6 + 12x = (12 + -3x)

Solving
-6 + 12x = 12 + -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.
-6 + 12x + 3x = 12 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-6 + 15x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 15x = 12 + 0
-6 + 15x = 12

Add '6' to each side of the equation.
-6 + 6 + 15x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 12 + 6
15x = 12 + 6

Combine like terms: 12 + 6 = 18
15x = 18

Divide each side by '15'.
x = 1.2

Simplifying
x = 1.2

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