5x-8=45x+24

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Solution for 5x-8=45x+24 equation:


Simplifying
5x + -8 = 45x + 24

Reorder the terms:
-8 + 5x = 45x + 24

Reorder the terms:
-8 + 5x = 24 + 45x

Solving
-8 + 5x = 24 + 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 = 24 + 45x + -45x

Combine like terms: 5x + -45x = -40x
-8 + -40x = 24 + 45x + -45x

Combine like terms: 45x + -45x = 0
-8 + -40x = 24 + 0
-8 + -40x = 24

Add '8' to each side of the equation.
-8 + 8 + -40x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + -40x = 24 + 8
-40x = 24 + 8

Combine like terms: 24 + 8 = 32
-40x = 32

Divide each side by '-40'.
x = -0.8

Simplifying
x = -0.8

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