-2(x-10)+6=-6(x+8)-10

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Solution for -2(x-10)+6=-6(x+8)-10 equation:


Simplifying
-2(x + -10) + 6 = -6(x + 8) + -10

Reorder the terms:
-2(-10 + x) + 6 = -6(x + 8) + -10
(-10 * -2 + x * -2) + 6 = -6(x + 8) + -10
(20 + -2x) + 6 = -6(x + 8) + -10

Reorder the terms:
20 + 6 + -2x = -6(x + 8) + -10

Combine like terms: 20 + 6 = 26
26 + -2x = -6(x + 8) + -10

Reorder the terms:
26 + -2x = -6(8 + x) + -10
26 + -2x = (8 * -6 + x * -6) + -10
26 + -2x = (-48 + -6x) + -10

Reorder the terms:
26 + -2x = -48 + -10 + -6x

Combine like terms: -48 + -10 = -58
26 + -2x = -58 + -6x

Solving
26 + -2x = -58 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
26 + -2x + 6x = -58 + -6x + 6x

Combine like terms: -2x + 6x = 4x
26 + 4x = -58 + -6x + 6x

Combine like terms: -6x + 6x = 0
26 + 4x = -58 + 0
26 + 4x = -58

Add '-26' to each side of the equation.
26 + -26 + 4x = -58 + -26

Combine like terms: 26 + -26 = 0
0 + 4x = -58 + -26
4x = -58 + -26

Combine like terms: -58 + -26 = -84
4x = -84

Divide each side by '4'.
x = -21

Simplifying
x = -21

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