10x-3=45x+18

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Solution for 10x-3=45x+18 equation:


Simplifying
10x + -3 = 45x + 18

Reorder the terms:
-3 + 10x = 45x + 18

Reorder the terms:
-3 + 10x = 18 + 45x

Solving
-3 + 10x = 18 + 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.
-3 + 10x + -45x = 18 + 45x + -45x

Combine like terms: 10x + -45x = -35x
-3 + -35x = 18 + 45x + -45x

Combine like terms: 45x + -45x = 0
-3 + -35x = 18 + 0
-3 + -35x = 18

Add '3' to each side of the equation.
-3 + 3 + -35x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + -35x = 18 + 3
-35x = 18 + 3

Combine like terms: 18 + 3 = 21
-35x = 21

Divide each side by '-35'.
x = -0.6

Simplifying
x = -0.6

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