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

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


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

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

Combine like terms: 4 + 5 = 9
9 + -1x = 3(x + -11)

Reorder the terms:
9 + -1x = 3(-11 + x)
9 + -1x = (-11 * 3 + x * 3)
9 + -1x = (-33 + 3x)

Solving
9 + -1x = -33 + 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.
9 + -1x + -3x = -33 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9 + -4x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -4x = -33 + 0
9 + -4x = -33

Add '-9' to each side of the equation.
9 + -9 + -4x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -33 + -9
-4x = -33 + -9

Combine like terms: -33 + -9 = -42
-4x = -42

Divide each side by '-4'.
x = 10.5

Simplifying
x = 10.5

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