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

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


Simplifying
4(2x + -3) + -3(6 + -1x) = -8

Reorder the terms:
4(-3 + 2x) + -3(6 + -1x) = -8
(-3 * 4 + 2x * 4) + -3(6 + -1x) = -8
(-12 + 8x) + -3(6 + -1x) = -8
-12 + 8x + (6 * -3 + -1x * -3) = -8
-12 + 8x + (-18 + 3x) = -8

Reorder the terms:
-12 + -18 + 8x + 3x = -8

Combine like terms: -12 + -18 = -30
-30 + 8x + 3x = -8

Combine like terms: 8x + 3x = 11x
-30 + 11x = -8

Solving
-30 + 11x = -8

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 11x = -8 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = -8 + 30
11x = -8 + 30

Combine like terms: -8 + 30 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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