x+(x+2)+(2x+15)+(3x+28)=8x-5

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Solution for x+(x+2)+(2x+15)+(3x+28)=8x-5 equation:


Simplifying
x + (x + 2) + (2x + 15) + (3x + 28) = 8x + -5

Reorder the terms:
x + (2 + x) + (2x + 15) + (3x + 28) = 8x + -5

Remove parenthesis around (2 + x)
x + 2 + x + (2x + 15) + (3x + 28) = 8x + -5

Reorder the terms:
x + 2 + x + (15 + 2x) + (3x + 28) = 8x + -5

Remove parenthesis around (15 + 2x)
x + 2 + x + 15 + 2x + (3x + 28) = 8x + -5

Reorder the terms:
x + 2 + x + 15 + 2x + (28 + 3x) = 8x + -5

Remove parenthesis around (28 + 3x)
x + 2 + x + 15 + 2x + 28 + 3x = 8x + -5

Reorder the terms:
2 + 15 + 28 + x + x + 2x + 3x = 8x + -5

Combine like terms: 2 + 15 = 17
17 + 28 + x + x + 2x + 3x = 8x + -5

Combine like terms: 17 + 28 = 45
45 + x + x + 2x + 3x = 8x + -5

Combine like terms: x + x = 2x
45 + 2x + 2x + 3x = 8x + -5

Combine like terms: 2x + 2x = 4x
45 + 4x + 3x = 8x + -5

Combine like terms: 4x + 3x = 7x
45 + 7x = 8x + -5

Reorder the terms:
45 + 7x = -5 + 8x

Solving
45 + 7x = -5 + 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.
45 + 7x + -8x = -5 + 8x + -8x

Combine like terms: 7x + -8x = -1x
45 + -1x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
45 + -1x = -5 + 0
45 + -1x = -5

Add '-45' to each side of the equation.
45 + -45 + -1x = -5 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = -5 + -45
-1x = -5 + -45

Combine like terms: -5 + -45 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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