(2x-7)+8x=(8x+28)+48

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Solution for (2x-7)+8x=(8x+28)+48 equation:


Simplifying
(2x + -7) + 8x = (8x + 28) + 48

Reorder the terms:
(-7 + 2x) + 8x = (8x + 28) + 48

Remove parenthesis around (-7 + 2x)
-7 + 2x + 8x = (8x + 28) + 48

Combine like terms: 2x + 8x = 10x
-7 + 10x = (8x + 28) + 48

Reorder the terms:
-7 + 10x = (28 + 8x) + 48

Remove parenthesis around (28 + 8x)
-7 + 10x = 28 + 8x + 48

Reorder the terms:
-7 + 10x = 28 + 48 + 8x

Combine like terms: 28 + 48 = 76
-7 + 10x = 76 + 8x

Solving
-7 + 10x = 76 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 10x + -8x = 76 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-7 + 2x = 76 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + 2x = 76 + 0
-7 + 2x = 76

Add '7' to each side of the equation.
-7 + 7 + 2x = 76 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 76 + 7
2x = 76 + 7

Combine like terms: 76 + 7 = 83
2x = 83

Divide each side by '2'.
x = 41.5

Simplifying
x = 41.5

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