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

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


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

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

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

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

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

Combine like terms: 3 + 5 = 8
8 + 2x + -4x = 0

Combine like terms: 2x + -4x = -2x
8 + -2x = 0

Solving
8 + -2x = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -2x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 0 + -8
-2x = 0 + -8

Combine like terms: 0 + -8 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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