5x-8=45x+16

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Solution for 5x-8=45x+16 equation:


Simplifying
5x + -8 = 45x + 16

Reorder the terms:
-8 + 5x = 45x + 16

Reorder the terms:
-8 + 5x = 16 + 45x

Solving
-8 + 5x = 16 + 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 + 5x + -45x = 16 + 45x + -45x

Combine like terms: 5x + -45x = -40x
-8 + -40x = 16 + 45x + -45x

Combine like terms: 45x + -45x = 0
-8 + -40x = 16 + 0
-8 + -40x = 16

Add '8' to each side of the equation.
-8 + 8 + -40x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -40x = 16 + 8
-40x = 16 + 8

Combine like terms: 16 + 8 = 24
-40x = 24

Divide each side by '-40'.
x = -0.6

Simplifying
x = -0.6

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