20(4x+1)-12(3x-1)=60*15-15(25-x)

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Solution for 20(4x+1)-12(3x-1)=60*15-15(25-x) equation: 


Simplifying
20(4x + 1) + -12(3x + -1) = 60 * 15 + -15(25 + -1x)

Reorder the terms:
20(1 + 4x) + -12(3x + -1) = 60 * 15 + -15(25 + -1x)
(1 * 20 + 4x * 20) + -12(3x + -1) = 60 * 15 + -15(25 + -1x)
(20 + 80x) + -12(3x + -1) = 60 * 15 + -15(25 + -1x)

Reorder the terms:
20 + 80x + -12(-1 + 3x) = 60 * 15 + -15(25 + -1x)
20 + 80x + (-1 * -12 + 3x * -12) = 60 * 15 + -15(25 + -1x)
20 + 80x + (12 + -36x) = 60 * 15 + -15(25 + -1x)

Reorder the terms:
20 + 12 + 80x + -36x = 60 * 15 + -15(25 + -1x)

Combine like terms: 20 + 12 = 32
32 + 80x + -36x = 60 * 15 + -15(25 + -1x)

Combine like terms: 80x + -36x = 44x
32 + 44x = 60 * 15 + -15(25 + -1x)

Multiply 60 * 15
32 + 44x = 900 + -15(25 + -1x)
32 + 44x = 900 + (25 * -15 + -1x * -15)
32 + 44x = 900 + (-375 + 15x)

Combine like terms: 900 + -375 = 525
32 + 44x = 525 + 15x

Solving
32 + 44x = 525 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
32 + 44x + -15x = 525 + 15x + -15x

Combine like terms: 44x + -15x = 29x
32 + 29x = 525 + 15x + -15x

Combine like terms: 15x + -15x = 0
32 + 29x = 525 + 0
32 + 29x = 525

Add '-32' to each side of the equation.
32 + -32 + 29x = 525 + -32

Combine like terms: 32 + -32 = 0
0 + 29x = 525 + -32
29x = 525 + -32

Combine like terms: 525 + -32 = 493
29x = 493

Divide each side by '29'.
x = 17

Simplifying
x = 17

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