2x+3=8x-33

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Solution for 2x+3=8x-33 equation:


Simplifying
2x + 3 = 8x + -33

Reorder the terms:
3 + 2x = 8x + -33

Reorder the terms:
3 + 2x = -33 + 8x

Solving
3 + 2x = -33 + 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.
3 + 2x + -8x = -33 + 8x + -8x

Combine like terms: 2x + -8x = -6x
3 + -6x = -33 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -6x = -33 + 0
3 + -6x = -33

Add '-3' to each side of the equation.
3 + -3 + -6x = -33 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -33 + -3
-6x = -33 + -3

Combine like terms: -33 + -3 = -36
-6x = -36

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

Simplifying
x = 6

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