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

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


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

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

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

Combine like terms: 6 + 3 = 9
-12 + 3x = 9 + -2x

Solving
-12 + 3x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 3x + 2x = 9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = 9 + 0
-12 + 5x = 9

Add '12' to each side of the equation.
-12 + 12 + 5x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 9 + 12
5x = 9 + 12

Combine like terms: 9 + 12 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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