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

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


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

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

Reorder the terms:
-8 + 2x + -3(-3 + x) = 4
-8 + 2x + (-3 * -3 + x * -3) = 4
-8 + 2x + (9 + -3x) = 4

Reorder the terms:
-8 + 9 + 2x + -3x = 4

Combine like terms: -8 + 9 = 1
1 + 2x + -3x = 4

Combine like terms: 2x + -3x = -1x
1 + -1x = 4

Solving
1 + -1x = 4

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 4 + -1
-1x = 4 + -1

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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