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

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


Simplifying
2x + -4(3 + -2x) = 4(x + -5) + -28
2x + (3 * -4 + -2x * -4) = 4(x + -5) + -28
2x + (-12 + 8x) = 4(x + -5) + -28

Reorder the terms:
-12 + 2x + 8x = 4(x + -5) + -28

Combine like terms: 2x + 8x = 10x
-12 + 10x = 4(x + -5) + -28

Reorder the terms:
-12 + 10x = 4(-5 + x) + -28
-12 + 10x = (-5 * 4 + x * 4) + -28
-12 + 10x = (-20 + 4x) + -28

Reorder the terms:
-12 + 10x = -20 + -28 + 4x

Combine like terms: -20 + -28 = -48
-12 + 10x = -48 + 4x

Solving
-12 + 10x = -48 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 10x + -4x = -48 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-12 + 6x = -48 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 6x = -48 + 0
-12 + 6x = -48

Add '12' to each side of the equation.
-12 + 12 + 6x = -48 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = -48 + 12
6x = -48 + 12

Combine like terms: -48 + 12 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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