3x-9=10x-30

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Solution for 3x-9=10x-30 equation:


Simplifying
3x + -9 = 10x + -30

Reorder the terms:
-9 + 3x = 10x + -30

Reorder the terms:
-9 + 3x = -30 + 10x

Solving
-9 + 3x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-9 + 3x + -10x = -30 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-9 + -7x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + -7x = -30 + 0
-9 + -7x = -30

Add '9' to each side of the equation.
-9 + 9 + -7x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = -30 + 9
-7x = -30 + 9

Combine like terms: -30 + 9 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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