5-(2-3x)=11-(5-4x)

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Solution for 5-(2-3x)=11-(5-4x) equation:


Simplifying
5 + -1(2 + -3x) = 11 + -1(5 + -4x)
5 + (2 * -1 + -3x * -1) = 11 + -1(5 + -4x)
5 + (-2 + 3x) = 11 + -1(5 + -4x)

Combine like terms: 5 + -2 = 3
3 + 3x = 11 + -1(5 + -4x)
3 + 3x = 11 + (5 * -1 + -4x * -1)
3 + 3x = 11 + (-5 + 4x)

Combine like terms: 11 + -5 = 6
3 + 3x = 6 + 4x

Solving
3 + 3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = 6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 6 + 0
3 + -1x = 6

Add '-3' to each side of the equation.
3 + -3 + -1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 6 + -3
-1x = 6 + -3

Combine like terms: 6 + -3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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