2x-3(x-4)=6

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


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

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

Reorder the terms:
12 + 2x + -3x = 6

Combine like terms: 2x + -3x = -1x
12 + -1x = 6

Solving
12 + -1x = 6

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 6 + -12
-1x = 6 + -12

Combine like terms: 6 + -12 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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