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

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


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

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

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

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

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

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

Combine like terms: 3x + -4x = -1x
-5 + -1x = 3

Solving
-5 + -1x = 3

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -8

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