27+(4x-30)+(3x-10)+x=360

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Solution for 27+(4x-30)+(3x-10)+x=360 equation:


Simplifying
27 + (4x + -30) + (3x + -10) + x = 360

Reorder the terms:
27 + (-30 + 4x) + (3x + -10) + x = 360

Remove parenthesis around (-30 + 4x)
27 + -30 + 4x + (3x + -10) + x = 360

Reorder the terms:
27 + -30 + 4x + (-10 + 3x) + x = 360

Remove parenthesis around (-10 + 3x)
27 + -30 + 4x + -10 + 3x + x = 360

Reorder the terms:
27 + -30 + -10 + 4x + 3x + x = 360

Combine like terms: 27 + -30 = -3
-3 + -10 + 4x + 3x + x = 360

Combine like terms: -3 + -10 = -13
-13 + 4x + 3x + x = 360

Combine like terms: 4x + 3x = 7x
-13 + 7x + x = 360

Combine like terms: 7x + x = 8x
-13 + 8x = 360

Solving
-13 + 8x = 360

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 360 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 360 + 13
8x = 360 + 13

Combine like terms: 360 + 13 = 373
8x = 373

Divide each side by '8'.
x = 46.625

Simplifying
x = 46.625

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