4(x-4)=33-3x

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


Simplifying
4(x + -4) = 33 + -3x

Reorder the terms:
4(-4 + x) = 33 + -3x
(-4 * 4 + x * 4) = 33 + -3x
(-16 + 4x) = 33 + -3x

Solving
-16 + 4x = 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.
-16 + 4x + 3x = 33 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-16 + 7x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 7x = 33 + 0
-16 + 7x = 33

Add '16' to each side of the equation.
-16 + 16 + 7x = 33 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 33 + 16
7x = 33 + 16

Combine like terms: 33 + 16 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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