45-6x=2x-10

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Solution for 45-6x=2x-10 equation: 


Simplifying
45 + -6x = 2x + -10

Reorder the terms:
45 + -6x = -10 + 2x

Solving
45 + -6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + -6x + -2x = -10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
45 + -8x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -8x = -10 + 0
45 + -8x = -10

Add '-45' to each side of the equation.
45 + -45 + -8x = -10 + -45

Combine like terms: 45 + -45 = 0
0 + -8x = -10 + -45
-8x = -10 + -45

Combine like terms: -10 + -45 = -55
-8x = -55

Divide each side by '-8'.
x = 6.875

Simplifying
x = 6.875

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