6(2x-4)=3(-x+7)

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Solution for 6(2x-4)=3(-x+7) equation:


Simplifying
6(2x + -4) = 3(-1x + 7)

Reorder the terms:
6(-4 + 2x) = 3(-1x + 7)
(-4 * 6 + 2x * 6) = 3(-1x + 7)
(-24 + 12x) = 3(-1x + 7)

Reorder the terms:
-24 + 12x = 3(7 + -1x)
-24 + 12x = (7 * 3 + -1x * 3)
-24 + 12x = (21 + -3x)

Solving
-24 + 12x = 21 + -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.
-24 + 12x + 3x = 21 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-24 + 15x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 15x = 21 + 0
-24 + 15x = 21

Add '24' to each side of the equation.
-24 + 24 + 15x = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 21 + 24
15x = 21 + 24

Combine like terms: 21 + 24 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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