2x-3(x-4)=-5

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Solution for 2x-3(x-4)=-5 equation:


Simplifying
2x + -3(x + -4) = -5

Reorder the terms:
2x + -3(-4 + x) = -5
2x + (-4 * -3 + x * -3) = -5
2x + (12 + -3x) = -5

Reorder the terms:
12 + 2x + -3x = -5

Combine like terms: 2x + -3x = -1x
12 + -1x = -5

Solving
12 + -1x = -5

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 = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -5 + -12
-1x = -5 + -12

Combine like terms: -5 + -12 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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