33=4(2x-2)-7

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Solution for 33=4(2x-2)-7 equation:


Simplifying
33 = 4(2x + -2) + -7

Reorder the terms:
33 = 4(-2 + 2x) + -7
33 = (-2 * 4 + 2x * 4) + -7
33 = (-8 + 8x) + -7

Reorder the terms:
33 = -8 + -7 + 8x

Combine like terms: -8 + -7 = -15
33 = -15 + 8x

Solving
33 = -15 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
33 + -8x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + -8x = -15 + 0
33 + -8x = -15

Add '-33' to each side of the equation.
33 + -33 + -8x = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -15 + -33
-8x = -15 + -33

Combine like terms: -15 + -33 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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