28x+6=5x-40

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Solution for 28x+6=5x-40 equation:


Simplifying
28x + 6 = 5x + -40

Reorder the terms:
6 + 28x = 5x + -40

Reorder the terms:
6 + 28x = -40 + 5x

Solving
6 + 28x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 28x + -5x = -40 + 5x + -5x

Combine like terms: 28x + -5x = 23x
6 + 23x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 23x = -40 + 0
6 + 23x = -40

Add '-6' to each side of the equation.
6 + -6 + 23x = -40 + -6

Combine like terms: 6 + -6 = 0
0 + 23x = -40 + -6
23x = -40 + -6

Combine like terms: -40 + -6 = -46
23x = -46

Divide each side by '23'.
x = -2

Simplifying
x = -2

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