3-2(4x-7)=33

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Solution for 3-2(4x-7)=33 equation:


Simplifying
3 + -2(4x + -7) = 33

Reorder the terms:
3 + -2(-7 + 4x) = 33
3 + (-7 * -2 + 4x * -2) = 33
3 + (14 + -8x) = 33

Combine like terms: 3 + 14 = 17
17 + -8x = 33

Solving
17 + -8x = 33

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -8x = 33 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = 33 + -17
-8x = 33 + -17

Combine like terms: 33 + -17 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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