X+(x-22)+(x-30)+(x-70)=7827

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Solution for X+(x-22)+(x-30)+(x-70)=7827 equation:


Simplifying
X + (x + -22) + (x + -30) + (x + -70) = 7827

Reorder the terms:
X + (-22 + x) + (x + -30) + (x + -70) = 7827

Remove parenthesis around (-22 + x)
X + -22 + x + (x + -30) + (x + -70) = 7827

Reorder the terms:
X + -22 + x + (-30 + x) + (x + -70) = 7827

Remove parenthesis around (-30 + x)
X + -22 + x + -30 + x + (x + -70) = 7827

Reorder the terms:
X + -22 + x + -30 + x + (-70 + x) = 7827

Remove parenthesis around (-70 + x)
X + -22 + x + -30 + x + -70 + x = 7827

Reorder the terms:
-22 + -30 + -70 + X + x + x + x = 7827

Combine like terms: -22 + -30 = -52
-52 + -70 + X + x + x + x = 7827

Combine like terms: -52 + -70 = -122
-122 + X + x + x + x = 7827

Combine like terms: x + x = 2x
-122 + X + 2x + x = 7827

Combine like terms: 2x + x = 3x
-122 + X + 3x = 7827

Solving
-122 + X + 3x = 7827

Solving for variable 'X'.

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

Add '122' to each side of the equation.
-122 + X + 122 + 3x = 7827 + 122

Reorder the terms:
-122 + 122 + X + 3x = 7827 + 122

Combine like terms: -122 + 122 = 0
0 + X + 3x = 7827 + 122
X + 3x = 7827 + 122

Combine like terms: 7827 + 122 = 7949
X + 3x = 7949

Add '-3x' to each side of the equation.
X + 3x + -3x = 7949 + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 7949 + -3x
X = 7949 + -3x

Simplifying
X = 7949 + -3x

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