(3x-6)+10=10+4x

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Solution for (3x-6)+10=10+4x equation:


Simplifying
(3x + -6) + 10 = 10 + 4x

Reorder the terms:
(-6 + 3x) + 10 = 10 + 4x

Remove parenthesis around (-6 + 3x)
-6 + 3x + 10 = 10 + 4x

Reorder the terms:
-6 + 10 + 3x = 10 + 4x

Combine like terms: -6 + 10 = 4
4 + 3x = 10 + 4x

Solving
4 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
4 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -1x = 10 + 0
4 + -1x = 10

Add '-4' to each side of the equation.
4 + -4 + -1x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 10 + -4
-1x = 10 + -4

Combine like terms: 10 + -4 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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