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

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


Simplifying
-6(x + -5) + -1(x + 2) = 2

Reorder the terms:
-6(-5 + x) + -1(x + 2) = 2
(-5 * -6 + x * -6) + -1(x + 2) = 2
(30 + -6x) + -1(x + 2) = 2

Reorder the terms:
30 + -6x + -1(2 + x) = 2
30 + -6x + (2 * -1 + x * -1) = 2
30 + -6x + (-2 + -1x) = 2

Reorder the terms:
30 + -2 + -6x + -1x = 2

Combine like terms: 30 + -2 = 28
28 + -6x + -1x = 2

Combine like terms: -6x + -1x = -7x
28 + -7x = 2

Solving
28 + -7x = 2

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 + -7x = 2 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = 2 + -28
-7x = 2 + -28

Combine like terms: 2 + -28 = -26
-7x = -26

Divide each side by '-7'.
x = 3.714285714

Simplifying
x = 3.714285714

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