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

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


Simplifying
24 + -2(2x + 3) = 2(3x + -2)

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

Combine like terms: 24 + -6 = 18
18 + -4x = 2(3x + -2)

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

Solving
18 + -4x = -4 + 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.
18 + -4x + -6x = -4 + 6x + -6x

Combine like terms: -4x + -6x = -10x
18 + -10x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -10x = -4 + 0
18 + -10x = -4

Add '-18' to each side of the equation.
18 + -18 + -10x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -4 + -18
-10x = -4 + -18

Combine like terms: -4 + -18 = -22
-10x = -22

Divide each side by '-10'.
x = 2.2

Simplifying
x = 2.2

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