3(5x+1)-(2x-8)=-28

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Solution for 3(5x+1)-(2x-8)=-28 equation: 


Simplifying
3(5x + 1) + -1(2x + -8) = -28

Reorder the terms:
3(1 + 5x) + -1(2x + -8) = -28
(1 * 3 + 5x * 3) + -1(2x + -8) = -28
(3 + 15x) + -1(2x + -8) = -28

Reorder the terms:
3 + 15x + -1(-8 + 2x) = -28
3 + 15x + (-8 * -1 + 2x * -1) = -28
3 + 15x + (8 + -2x) = -28

Reorder the terms:
3 + 8 + 15x + -2x = -28

Combine like terms: 3 + 8 = 11
11 + 15x + -2x = -28

Combine like terms: 15x + -2x = 13x
11 + 13x = -28

Solving
11 + 13x = -28

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 13x = -28 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = -28 + -11
13x = -28 + -11

Combine like terms: -28 + -11 = -39
13x = -39

Divide each side by '13'.
x = -3

Simplifying
x = -3

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