3x-10=-6x+62

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Solution for 3x-10=-6x+62 equation:


Simplifying
3x + -10 = -6x + 62

Reorder the terms:
-10 + 3x = -6x + 62

Reorder the terms:
-10 + 3x = 62 + -6x

Solving
-10 + 3x = 62 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + 3x + 6x = 62 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-10 + 9x = 62 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 9x = 62 + 0
-10 + 9x = 62

Add '10' to each side of the equation.
-10 + 10 + 9x = 62 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = 62 + 10
9x = 62 + 10

Combine like terms: 62 + 10 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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