6(x-6)-5(6-3x)=20(x-4)-8

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Solution for 6(x-6)-5(6-3x)=20(x-4)-8 equation:


Simplifying
6(x + -6) + -5(6 + -3x) = 20(x + -4) + -8

Reorder the terms:
6(-6 + x) + -5(6 + -3x) = 20(x + -4) + -8
(-6 * 6 + x * 6) + -5(6 + -3x) = 20(x + -4) + -8
(-36 + 6x) + -5(6 + -3x) = 20(x + -4) + -8
-36 + 6x + (6 * -5 + -3x * -5) = 20(x + -4) + -8
-36 + 6x + (-30 + 15x) = 20(x + -4) + -8

Reorder the terms:
-36 + -30 + 6x + 15x = 20(x + -4) + -8

Combine like terms: -36 + -30 = -66
-66 + 6x + 15x = 20(x + -4) + -8

Combine like terms: 6x + 15x = 21x
-66 + 21x = 20(x + -4) + -8

Reorder the terms:
-66 + 21x = 20(-4 + x) + -8
-66 + 21x = (-4 * 20 + x * 20) + -8
-66 + 21x = (-80 + 20x) + -8

Reorder the terms:
-66 + 21x = -80 + -8 + 20x

Combine like terms: -80 + -8 = -88
-66 + 21x = -88 + 20x

Solving
-66 + 21x = -88 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-66 + 21x + -20x = -88 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-66 + 1x = -88 + 20x + -20x

Combine like terms: 20x + -20x = 0
-66 + 1x = -88 + 0
-66 + 1x = -88

Add '66' to each side of the equation.
-66 + 66 + 1x = -88 + 66

Combine like terms: -66 + 66 = 0
0 + 1x = -88 + 66
1x = -88 + 66

Combine like terms: -88 + 66 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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