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

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


Simplifying
(3x + -4) + -1(2x + -3) = 8

Reorder the terms:
(-4 + 3x) + -1(2x + -3) = 8

Remove parenthesis around (-4 + 3x)
-4 + 3x + -1(2x + -3) = 8

Reorder the terms:
-4 + 3x + -1(-3 + 2x) = 8
-4 + 3x + (-3 * -1 + 2x * -1) = 8
-4 + 3x + (3 + -2x) = 8

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

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

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

Solving
-1 + 1x = 8

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 = 8 + 1

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

Combine like terms: 8 + 1 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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