5-7(3-4x)=3(x-11)-33

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Solution for 5-7(3-4x)=3(x-11)-33 equation: 


Simplifying
5 + -7(3 + -4x) = 3(x + -11) + -33
5 + (3 * -7 + -4x * -7) = 3(x + -11) + -33
5 + (-21 + 28x) = 3(x + -11) + -33

Combine like terms: 5 + -21 = -16
-16 + 28x = 3(x + -11) + -33

Reorder the terms:
-16 + 28x = 3(-11 + x) + -33
-16 + 28x = (-11 * 3 + x * 3) + -33
-16 + 28x = (-33 + 3x) + -33

Reorder the terms:
-16 + 28x = -33 + -33 + 3x

Combine like terms: -33 + -33 = -66
-16 + 28x = -66 + 3x

Solving
-16 + 28x = -66 + 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.
-16 + 28x + -3x = -66 + 3x + -3x

Combine like terms: 28x + -3x = 25x
-16 + 25x = -66 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 25x = -66 + 0
-16 + 25x = -66

Add '16' to each side of the equation.
-16 + 16 + 25x = -66 + 16

Combine like terms: -16 + 16 = 0
0 + 25x = -66 + 16
25x = -66 + 16

Combine like terms: -66 + 16 = -50
25x = -50

Divide each side by '25'.
x = -2

Simplifying
x = -2

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