2(x+5)-6(x-3)=

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Solution for 2(x+5)-6(x-3)= equation: 


Simplifying
2(x + 5) + -6(x + -3) = 0

Reorder the terms:
2(5 + x) + -6(x + -3) = 0
(5 * 2 + x * 2) + -6(x + -3) = 0
(10 + 2x) + -6(x + -3) = 0

Reorder the terms:
10 + 2x + -6(-3 + x) = 0
10 + 2x + (-3 * -6 + x * -6) = 0
10 + 2x + (18 + -6x) = 0

Reorder the terms:
10 + 18 + 2x + -6x = 0

Combine like terms: 10 + 18 = 28
28 + 2x + -6x = 0

Combine like terms: 2x + -6x = -4x
28 + -4x = 0

Solving
28 + -4x = 0

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -4x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = 0 + -28
-4x = 0 + -28

Combine like terms: 0 + -28 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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