(2x+5)+(6x-15)=46

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Solution for (2x+5)+(6x-15)=46 equation:


Simplifying
(2x + 5) + (6x + -15) = 46

Reorder the terms:
(5 + 2x) + (6x + -15) = 46

Remove parenthesis around (5 + 2x)
5 + 2x + (6x + -15) = 46

Reorder the terms:
5 + 2x + (-15 + 6x) = 46

Remove parenthesis around (-15 + 6x)
5 + 2x + -15 + 6x = 46

Reorder the terms:
5 + -15 + 2x + 6x = 46

Combine like terms: 5 + -15 = -10
-10 + 2x + 6x = 46

Combine like terms: 2x + 6x = 8x
-10 + 8x = 46

Solving
-10 + 8x = 46

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 8x = 46 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 46 + 10
8x = 46 + 10

Combine like terms: 46 + 10 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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