(2x+16)+(2x+30)+(4x-13)+(3x-21)=287

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Solution for (2x+16)+(2x+30)+(4x-13)+(3x-21)=287 equation:


Simplifying
(2x + 16) + (2x + 30) + (4x + -13) + (3x + -21) = 287

Reorder the terms:
(16 + 2x) + (2x + 30) + (4x + -13) + (3x + -21) = 287

Remove parenthesis around (16 + 2x)
16 + 2x + (2x + 30) + (4x + -13) + (3x + -21) = 287

Reorder the terms:
16 + 2x + (30 + 2x) + (4x + -13) + (3x + -21) = 287

Remove parenthesis around (30 + 2x)
16 + 2x + 30 + 2x + (4x + -13) + (3x + -21) = 287

Reorder the terms:
16 + 2x + 30 + 2x + (-13 + 4x) + (3x + -21) = 287

Remove parenthesis around (-13 + 4x)
16 + 2x + 30 + 2x + -13 + 4x + (3x + -21) = 287

Reorder the terms:
16 + 2x + 30 + 2x + -13 + 4x + (-21 + 3x) = 287

Remove parenthesis around (-21 + 3x)
16 + 2x + 30 + 2x + -13 + 4x + -21 + 3x = 287

Reorder the terms:
16 + 30 + -13 + -21 + 2x + 2x + 4x + 3x = 287

Combine like terms: 16 + 30 = 46
46 + -13 + -21 + 2x + 2x + 4x + 3x = 287

Combine like terms: 46 + -13 = 33
33 + -21 + 2x + 2x + 4x + 3x = 287

Combine like terms: 33 + -21 = 12
12 + 2x + 2x + 4x + 3x = 287

Combine like terms: 2x + 2x = 4x
12 + 4x + 4x + 3x = 287

Combine like terms: 4x + 4x = 8x
12 + 8x + 3x = 287

Combine like terms: 8x + 3x = 11x
12 + 11x = 287

Solving
12 + 11x = 287

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 11x = 287 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 287 + -12
11x = 287 + -12

Combine like terms: 287 + -12 = 275
11x = 275

Divide each side by '11'.
x = 25

Simplifying
x = 25

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