7x-33=-4(-x+4)

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Solution for 7x-33=-4(-x+4) equation:


Simplifying
7x + -33 = -4(-1x + 4)

Reorder the terms:
-33 + 7x = -4(-1x + 4)

Reorder the terms:
-33 + 7x = -4(4 + -1x)
-33 + 7x = (4 * -4 + -1x * -4)
-33 + 7x = (-16 + 4x)

Solving
-33 + 7x = -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 + 7x + -4x = -16 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-33 + 3x = -16 + 0
-33 + 3x = -16

Add '33' to each side of the equation.
-33 + 33 + 3x = -16 + 33

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

Combine like terms: -16 + 33 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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