3x+(2x-25)+(x+6)+(4x-11)=360

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Solution for 3x+(2x-25)+(x+6)+(4x-11)=360 equation:


Simplifying
3x + (2x + -25) + (x + 6) + (4x + -11) = 360

Reorder the terms:
3x + (-25 + 2x) + (x + 6) + (4x + -11) = 360

Remove parenthesis around (-25 + 2x)
3x + -25 + 2x + (x + 6) + (4x + -11) = 360

Reorder the terms:
3x + -25 + 2x + (6 + x) + (4x + -11) = 360

Remove parenthesis around (6 + x)
3x + -25 + 2x + 6 + x + (4x + -11) = 360

Reorder the terms:
3x + -25 + 2x + 6 + x + (-11 + 4x) = 360

Remove parenthesis around (-11 + 4x)
3x + -25 + 2x + 6 + x + -11 + 4x = 360

Reorder the terms:
-25 + 6 + -11 + 3x + 2x + x + 4x = 360

Combine like terms: -25 + 6 = -19
-19 + -11 + 3x + 2x + x + 4x = 360

Combine like terms: -19 + -11 = -30
-30 + 3x + 2x + x + 4x = 360

Combine like terms: 3x + 2x = 5x
-30 + 5x + x + 4x = 360

Combine like terms: 5x + x = 6x
-30 + 6x + 4x = 360

Combine like terms: 6x + 4x = 10x
-30 + 10x = 360

Solving
-30 + 10x = 360

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 10x = 360 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 360 + 30
10x = 360 + 30

Combine like terms: 360 + 30 = 390
10x = 390

Divide each side by '10'.
x = 39

Simplifying
x = 39

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