3(x-2)-4(x-3)=8

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Solution for 3(x-2)-4(x-3)=8 equation: 


Simplifying
3(x + -2) + -4(x + -3) = 8

Reorder the terms:
3(-2 + x) + -4(x + -3) = 8
(-2 * 3 + x * 3) + -4(x + -3) = 8
(-6 + 3x) + -4(x + -3) = 8

Reorder the terms:
-6 + 3x + -4(-3 + x) = 8
-6 + 3x + (-3 * -4 + x * -4) = 8
-6 + 3x + (12 + -4x) = 8

Reorder the terms:
-6 + 12 + 3x + -4x = 8

Combine like terms: -6 + 12 = 6
6 + 3x + -4x = 8

Combine like terms: 3x + -4x = -1x
6 + -1x = 8

Solving
6 + -1x = 8

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 8 + -6
-1x = 8 + -6

Combine like terms: 8 + -6 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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