3(2x-7)=5x-33-x

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Solution for 3(2x-7)=5x-33-x equation:


Simplifying
3(2x + -7) = 5x + -33 + -1x

Reorder the terms:
3(-7 + 2x) = 5x + -33 + -1x
(-7 * 3 + 2x * 3) = 5x + -33 + -1x
(-21 + 6x) = 5x + -33 + -1x

Reorder the terms:
-21 + 6x = -33 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-21 + 6x = -33 + 4x

Solving
-21 + 6x = -33 + 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.
-21 + 6x + -4x = -33 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-21 + 2x = -33 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 2x = -33 + 0
-21 + 2x = -33

Add '21' to each side of the equation.
-21 + 21 + 2x = -33 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -33 + 21
2x = -33 + 21

Combine like terms: -33 + 21 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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