(2x-10)+(3x-6)=8+(7x-28)

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Solution for (2x-10)+(3x-6)=8+(7x-28) equation:


Simplifying
(2x + -10) + (3x + -6) = 8 + (7x + -28)

Reorder the terms:
(-10 + 2x) + (3x + -6) = 8 + (7x + -28)

Remove parenthesis around (-10 + 2x)
-10 + 2x + (3x + -6) = 8 + (7x + -28)

Reorder the terms:
-10 + 2x + (-6 + 3x) = 8 + (7x + -28)

Remove parenthesis around (-6 + 3x)
-10 + 2x + -6 + 3x = 8 + (7x + -28)

Reorder the terms:
-10 + -6 + 2x + 3x = 8 + (7x + -28)

Combine like terms: -10 + -6 = -16
-16 + 2x + 3x = 8 + (7x + -28)

Combine like terms: 2x + 3x = 5x
-16 + 5x = 8 + (7x + -28)

Reorder the terms:
-16 + 5x = 8 + (-28 + 7x)

Remove parenthesis around (-28 + 7x)
-16 + 5x = 8 + -28 + 7x

Combine like terms: 8 + -28 = -20
-16 + 5x = -20 + 7x

Solving
-16 + 5x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-16 + 5x + -7x = -20 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-16 + -2x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + -2x = -20 + 0
-16 + -2x = -20

Add '16' to each side of the equation.
-16 + 16 + -2x = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -20 + 16
-2x = -20 + 16

Combine like terms: -20 + 16 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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