10x+8=45x+20

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Solution for 10x+8=45x+20 equation:


Simplifying
10x + 8 = 45x + 20

Reorder the terms:
8 + 10x = 45x + 20

Reorder the terms:
8 + 10x = 20 + 45x

Solving
8 + 10x = 20 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
8 + 10x + -45x = 20 + 45x + -45x

Combine like terms: 10x + -45x = -35x
8 + -35x = 20 + 45x + -45x

Combine like terms: 45x + -45x = 0
8 + -35x = 20 + 0
8 + -35x = 20

Add '-8' to each side of the equation.
8 + -8 + -35x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -35x = 20 + -8
-35x = 20 + -8

Combine like terms: 20 + -8 = 12
-35x = 12

Divide each side by '-35'.
x = -0.3428571429

Simplifying
x = -0.3428571429

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