3x-6=10x-90

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Solution for 3x-6=10x-90 equation:


Simplifying
3x + -6 = 10x + -90

Reorder the terms:
-6 + 3x = 10x + -90

Reorder the terms:
-6 + 3x = -90 + 10x

Solving
-6 + 3x = -90 + 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.
-6 + 3x + -10x = -90 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-6 + -7x = -90 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -7x = -90 + 0
-6 + -7x = -90

Add '6' to each side of the equation.
-6 + 6 + -7x = -90 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -90 + 6
-7x = -90 + 6

Combine like terms: -90 + 6 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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