6x-10=3x+5+(x-9)

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Solution for 6x-10=3x+5+(x-9) equation:


Simplifying
6x + -10 = 3x + 5 + (x + -9)

Reorder the terms:
-10 + 6x = 3x + 5 + (x + -9)

Reorder the terms:
-10 + 6x = 3x + 5 + (-9 + x)

Remove parenthesis around (-9 + x)
-10 + 6x = 3x + 5 + -9 + x

Reorder the terms:
-10 + 6x = 5 + -9 + 3x + x

Combine like terms: 5 + -9 = -4
-10 + 6x = -4 + 3x + x

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

Solving
-10 + 6x = -4 + 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.
-10 + 6x + -4x = -4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 2x = -4 + 0
-10 + 2x = -4

Add '10' to each side of the equation.
-10 + 10 + 2x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -4 + 10
2x = -4 + 10

Combine like terms: -4 + 10 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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