(4x-3)-(5x+2)=0

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Solution for (4x-3)-(5x+2)=0 equation:


Simplifying
(4x + -3) + -1(5x + 2) = 0

Reorder the terms:
(-3 + 4x) + -1(5x + 2) = 0

Remove parenthesis around (-3 + 4x)
-3 + 4x + -1(5x + 2) = 0

Reorder the terms:
-3 + 4x + -1(2 + 5x) = 0
-3 + 4x + (2 * -1 + 5x * -1) = 0
-3 + 4x + (-2 + -5x) = 0

Reorder the terms:
-3 + -2 + 4x + -5x = 0

Combine like terms: -3 + -2 = -5
-5 + 4x + -5x = 0

Combine like terms: 4x + -5x = -1x
-5 + -1x = 0

Solving
-5 + -1x = 0

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 = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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