-2(x-28)=6(x-19)+10

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Solution for -2(x-28)=6(x-19)+10 equation:


Simplifying
-2(x + -28) = 6(x + -19) + 10

Reorder the terms:
-2(-28 + x) = 6(x + -19) + 10
(-28 * -2 + x * -2) = 6(x + -19) + 10
(56 + -2x) = 6(x + -19) + 10

Reorder the terms:
56 + -2x = 6(-19 + x) + 10
56 + -2x = (-19 * 6 + x * 6) + 10
56 + -2x = (-114 + 6x) + 10

Reorder the terms:
56 + -2x = -114 + 10 + 6x

Combine like terms: -114 + 10 = -104
56 + -2x = -104 + 6x

Solving
56 + -2x = -104 + 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.
56 + -2x + -6x = -104 + 6x + -6x

Combine like terms: -2x + -6x = -8x
56 + -8x = -104 + 6x + -6x

Combine like terms: 6x + -6x = 0
56 + -8x = -104 + 0
56 + -8x = -104

Add '-56' to each side of the equation.
56 + -56 + -8x = -104 + -56

Combine like terms: 56 + -56 = 0
0 + -8x = -104 + -56
-8x = -104 + -56

Combine like terms: -104 + -56 = -160
-8x = -160

Divide each side by '-8'.
x = 20

Simplifying
x = 20

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