8x-3=x-45

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Solution for 8x-3=x-45 equation:


Simplifying
8x + -3 = x + -45

Reorder the terms:
-3 + 8x = x + -45

Reorder the terms:
-3 + 8x = -45 + x

Solving
-3 + 8x = -45 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 8x + -1x = -45 + x + -1x

Combine like terms: 8x + -1x = 7x
-3 + 7x = -45 + x + -1x

Combine like terms: x + -1x = 0
-3 + 7x = -45 + 0
-3 + 7x = -45

Add '3' to each side of the equation.
-3 + 3 + 7x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = -45 + 3
7x = -45 + 3

Combine like terms: -45 + 3 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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