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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
-33 + 7x = 16 + 0
-33 + 7x = 16

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

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

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

Divide each side by '7'.
x = 7

Simplifying
x = 7

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