x+(x+7)+(x+14)+(x+21)+(x+28)=125

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Solution for x+(x+7)+(x+14)+(x+21)+(x+28)=125 equation:


Simplifying
x + (x + 7) + (x + 14) + (x + 21) + (x + 28) = 125

Reorder the terms:
x + (7 + x) + (x + 14) + (x + 21) + (x + 28) = 125

Remove parenthesis around (7 + x)
x + 7 + x + (x + 14) + (x + 21) + (x + 28) = 125

Reorder the terms:
x + 7 + x + (14 + x) + (x + 21) + (x + 28) = 125

Remove parenthesis around (14 + x)
x + 7 + x + 14 + x + (x + 21) + (x + 28) = 125

Reorder the terms:
x + 7 + x + 14 + x + (21 + x) + (x + 28) = 125

Remove parenthesis around (21 + x)
x + 7 + x + 14 + x + 21 + x + (x + 28) = 125

Reorder the terms:
x + 7 + x + 14 + x + 21 + x + (28 + x) = 125

Remove parenthesis around (28 + x)
x + 7 + x + 14 + x + 21 + x + 28 + x = 125

Reorder the terms:
7 + 14 + 21 + 28 + x + x + x + x + x = 125

Combine like terms: 7 + 14 = 21
21 + 21 + 28 + x + x + x + x + x = 125

Combine like terms: 21 + 21 = 42
42 + 28 + x + x + x + x + x = 125

Combine like terms: 42 + 28 = 70
70 + x + x + x + x + x = 125

Combine like terms: x + x = 2x
70 + 2x + x + x + x = 125

Combine like terms: 2x + x = 3x
70 + 3x + x + x = 125

Combine like terms: 3x + x = 4x
70 + 4x + x = 125

Combine like terms: 4x + x = 5x
70 + 5x = 125

Solving
70 + 5x = 125

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 5x = 125 + -70

Combine like terms: 70 + -70 = 0
0 + 5x = 125 + -70
5x = 125 + -70

Combine like terms: 125 + -70 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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