6(x-2)+2(x+5)=-10

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Solution for 6(x-2)+2(x+5)=-10 equation:


Simplifying
6(x + -2) + 2(x + 5) = -10

Reorder the terms:
6(-2 + x) + 2(x + 5) = -10
(-2 * 6 + x * 6) + 2(x + 5) = -10
(-12 + 6x) + 2(x + 5) = -10

Reorder the terms:
-12 + 6x + 2(5 + x) = -10
-12 + 6x + (5 * 2 + x * 2) = -10
-12 + 6x + (10 + 2x) = -10

Reorder the terms:
-12 + 10 + 6x + 2x = -10

Combine like terms: -12 + 10 = -2
-2 + 6x + 2x = -10

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

Solving
-2 + 8x = -10

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -10 + 2
8x = -10 + 2

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

Divide each side by '8'.
x = -1

Simplifying
x = -1

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