278-5x=40x+23

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Solution for 278-5x=40x+23 equation:


Simplifying
278 + -5x = 40x + 23

Reorder the terms:
278 + -5x = 23 + 40x

Solving
278 + -5x = 23 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
278 + -5x + -40x = 23 + 40x + -40x

Combine like terms: -5x + -40x = -45x
278 + -45x = 23 + 40x + -40x

Combine like terms: 40x + -40x = 0
278 + -45x = 23 + 0
278 + -45x = 23

Add '-278' to each side of the equation.
278 + -278 + -45x = 23 + -278

Combine like terms: 278 + -278 = 0
0 + -45x = 23 + -278
-45x = 23 + -278

Combine like terms: 23 + -278 = -255
-45x = -255

Divide each side by '-45'.
x = 5.666666667

Simplifying
x = 5.666666667

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