(2x-7)-(3x-4)=5

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Solution for (2x-7)-(3x-4)=5 equation:


Simplifying
(2x + -7) + -1(3x + -4) = 5

Reorder the terms:
(-7 + 2x) + -1(3x + -4) = 5

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(3x + -4) = 5

Reorder the terms:
-7 + 2x + -1(-4 + 3x) = 5
-7 + 2x + (-4 * -1 + 3x * -1) = 5
-7 + 2x + (4 + -3x) = 5

Reorder the terms:
-7 + 4 + 2x + -3x = 5

Combine like terms: -7 + 4 = -3
-3 + 2x + -3x = 5

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

Solving
-3 + -1x = 5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 5 + 3
-1x = 5 + 3

Combine like terms: 5 + 3 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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