2(x-4)-5(3x+4)=x-28

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Solution for 2(x-4)-5(3x+4)=x-28 equation:


Simplifying
2(x + -4) + -5(3x + 4) = x + -28

Reorder the terms:
2(-4 + x) + -5(3x + 4) = x + -28
(-4 * 2 + x * 2) + -5(3x + 4) = x + -28
(-8 + 2x) + -5(3x + 4) = x + -28

Reorder the terms:
-8 + 2x + -5(4 + 3x) = x + -28
-8 + 2x + (4 * -5 + 3x * -5) = x + -28
-8 + 2x + (-20 + -15x) = x + -28

Reorder the terms:
-8 + -20 + 2x + -15x = x + -28

Combine like terms: -8 + -20 = -28
-28 + 2x + -15x = x + -28

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

Reorder the terms:
-28 + -13x = -28 + x

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

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

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

Solving
-13x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13x + -1x = x + -1x

Combine like terms: -13x + -1x = -14x
-14x = x + -1x

Combine like terms: x + -1x = 0
-14x = 0

Divide each side by '-14'.
x = 0

Simplifying
x = 0

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