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

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


Simplifying
4(6 + -1x) = -3 + -2(-2x + 3)
(6 * 4 + -1x * 4) = -3 + -2(-2x + 3)
(24 + -4x) = -3 + -2(-2x + 3)

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

Combine like terms: -3 + -6 = -9
24 + -4x = -9 + 4x

Solving
24 + -4x = -9 + 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.
24 + -4x + -4x = -9 + 4x + -4x

Combine like terms: -4x + -4x = -8x
24 + -8x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -8x = -9 + 0
24 + -8x = -9

Add '-24' to each side of the equation.
24 + -24 + -8x = -9 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -9 + -24
-8x = -9 + -24

Combine like terms: -9 + -24 = -33
-8x = -33

Divide each side by '-8'.
x = 4.125

Simplifying
x = 4.125

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