2x+33=10x-47

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Solution for 2x+33=10x-47 equation:


Simplifying
2x + 33 = 10x + -47

Reorder the terms:
33 + 2x = 10x + -47

Reorder the terms:
33 + 2x = -47 + 10x

Solving
33 + 2x = -47 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
33 + 2x + -10x = -47 + 10x + -10x

Combine like terms: 2x + -10x = -8x
33 + -8x = -47 + 10x + -10x

Combine like terms: 10x + -10x = 0
33 + -8x = -47 + 0
33 + -8x = -47

Add '-33' to each side of the equation.
33 + -33 + -8x = -47 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -47 + -33
-8x = -47 + -33

Combine like terms: -47 + -33 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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