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

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


Simplifying
4 + -1(5 + -1x) = 3x + -5
4 + (5 * -1 + -1x * -1) = 3x + -5
4 + (-5 + 1x) = 3x + -5

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

Reorder the terms:
-1 + 1x = -5 + 3x

Solving
-1 + 1x = -5 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-1 + -2x = -5 + 0
-1 + -2x = -5

Add '1' to each side of the equation.
-1 + 1 + -2x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -5 + 1
-2x = -5 + 1

Combine like terms: -5 + 1 = -4
-2x = -4

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

Simplifying
x = 2

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