8(x-3)-5(2x-2)=-3(x-4)-6

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Solution for 8(x-3)-5(2x-2)=-3(x-4)-6 equation:


Simplifying
8(x + -3) + -5(2x + -2) = -3(x + -4) + -6

Reorder the terms:
8(-3 + x) + -5(2x + -2) = -3(x + -4) + -6
(-3 * 8 + x * 8) + -5(2x + -2) = -3(x + -4) + -6
(-24 + 8x) + -5(2x + -2) = -3(x + -4) + -6

Reorder the terms:
-24 + 8x + -5(-2 + 2x) = -3(x + -4) + -6
-24 + 8x + (-2 * -5 + 2x * -5) = -3(x + -4) + -6
-24 + 8x + (10 + -10x) = -3(x + -4) + -6

Reorder the terms:
-24 + 10 + 8x + -10x = -3(x + -4) + -6

Combine like terms: -24 + 10 = -14
-14 + 8x + -10x = -3(x + -4) + -6

Combine like terms: 8x + -10x = -2x
-14 + -2x = -3(x + -4) + -6

Reorder the terms:
-14 + -2x = -3(-4 + x) + -6
-14 + -2x = (-4 * -3 + x * -3) + -6
-14 + -2x = (12 + -3x) + -6

Reorder the terms:
-14 + -2x = 12 + -6 + -3x

Combine like terms: 12 + -6 = 6
-14 + -2x = 6 + -3x

Solving
-14 + -2x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-14 + -2x + 3x = 6 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-14 + 1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-14 + 1x = 6 + 0
-14 + 1x = 6

Add '14' to each side of the equation.
-14 + 14 + 1x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 6 + 14
1x = 6 + 14

Combine like terms: 6 + 14 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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