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

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


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

Reorder the terms:
4 + -1(5 + 3x) = 11 + -1x
4 + (5 * -1 + 3x * -1) = 11 + -1x
4 + (-5 + -3x) = 11 + -1x

Combine like terms: 4 + -5 = -1
-1 + -3x = 11 + -1x

Solving
-1 + -3x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + -3x + x = 11 + -1x + x

Combine like terms: -3x + x = -2x
-1 + -2x = 11 + -1x + x

Combine like terms: -1x + x = 0
-1 + -2x = 11 + 0
-1 + -2x = 11

Add '1' to each side of the equation.
-1 + 1 + -2x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 11 + 1
-2x = 11 + 1

Combine like terms: 11 + 1 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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