30x+10=(30x-6)+2x

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Solution for 30x+10=(30x-6)+2x equation:


Simplifying
30x + 10 = (30x + -6) + 2x

Reorder the terms:
10 + 30x = (30x + -6) + 2x

Reorder the terms:
10 + 30x = (-6 + 30x) + 2x

Remove parenthesis around (-6 + 30x)
10 + 30x = -6 + 30x + 2x

Combine like terms: 30x + 2x = 32x
10 + 30x = -6 + 32x

Solving
10 + 30x = -6 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
10 + 30x + -32x = -6 + 32x + -32x

Combine like terms: 30x + -32x = -2x
10 + -2x = -6 + 32x + -32x

Combine like terms: 32x + -32x = 0
10 + -2x = -6 + 0
10 + -2x = -6

Add '-10' to each side of the equation.
10 + -10 + -2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -6 + -10
-2x = -6 + -10

Combine like terms: -6 + -10 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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