-(2x-3)-(-4x+24)=-6x+3

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Solution for -(2x-3)-(-4x+24)=-6x+3 equation:


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

Reorder the terms:
-1(-3 + 2x) + -1(-4x + 24) = -6x + 3
(-3 * -1 + 2x * -1) + -1(-4x + 24) = -6x + 3
(3 + -2x) + -1(-4x + 24) = -6x + 3

Reorder the terms:
3 + -2x + -1(24 + -4x) = -6x + 3
3 + -2x + (24 * -1 + -4x * -1) = -6x + 3
3 + -2x + (-24 + 4x) = -6x + 3

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

Combine like terms: 3 + -24 = -21
-21 + -2x + 4x = -6x + 3

Combine like terms: -2x + 4x = 2x
-21 + 2x = -6x + 3

Reorder the terms:
-21 + 2x = 3 + -6x

Solving
-21 + 2x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-21 + 2x + 6x = 3 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-21 + 8x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-21 + 8x = 3 + 0
-21 + 8x = 3

Add '21' to each side of the equation.
-21 + 21 + 8x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 3 + 21
8x = 3 + 21

Combine like terms: 3 + 21 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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