x+(x-5)+(x+15)+(3x-44)+(x-70)=540

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Solution for x+(x-5)+(x+15)+(3x-44)+(x-70)=540 equation:


Simplifying
x + (x + -5) + (x + 15) + (3x + -44) + (x + -70) = 540

Reorder the terms:
x + (-5 + x) + (x + 15) + (3x + -44) + (x + -70) = 540

Remove parenthesis around (-5 + x)
x + -5 + x + (x + 15) + (3x + -44) + (x + -70) = 540

Reorder the terms:
x + -5 + x + (15 + x) + (3x + -44) + (x + -70) = 540

Remove parenthesis around (15 + x)
x + -5 + x + 15 + x + (3x + -44) + (x + -70) = 540

Reorder the terms:
x + -5 + x + 15 + x + (-44 + 3x) + (x + -70) = 540

Remove parenthesis around (-44 + 3x)
x + -5 + x + 15 + x + -44 + 3x + (x + -70) = 540

Reorder the terms:
x + -5 + x + 15 + x + -44 + 3x + (-70 + x) = 540

Remove parenthesis around (-70 + x)
x + -5 + x + 15 + x + -44 + 3x + -70 + x = 540

Reorder the terms:
-5 + 15 + -44 + -70 + x + x + x + 3x + x = 540

Combine like terms: -5 + 15 = 10
10 + -44 + -70 + x + x + x + 3x + x = 540

Combine like terms: 10 + -44 = -34
-34 + -70 + x + x + x + 3x + x = 540

Combine like terms: -34 + -70 = -104
-104 + x + x + x + 3x + x = 540

Combine like terms: x + x = 2x
-104 + 2x + x + 3x + x = 540

Combine like terms: 2x + x = 3x
-104 + 3x + 3x + x = 540

Combine like terms: 3x + 3x = 6x
-104 + 6x + x = 540

Combine like terms: 6x + x = 7x
-104 + 7x = 540

Solving
-104 + 7x = 540

Solving for variable 'x'.

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

Add '104' to each side of the equation.
-104 + 104 + 7x = 540 + 104

Combine like terms: -104 + 104 = 0
0 + 7x = 540 + 104
7x = 540 + 104

Combine like terms: 540 + 104 = 644
7x = 644

Divide each side by '7'.
x = 92

Simplifying
x = 92

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