24-12x-9=43-4(6x+1)

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Solution for 24-12x-9=43-4(6x+1) equation:


Simplifying
24 + -12x + -9 = 43 + -4(6x + 1)

Reorder the terms:
24 + -9 + -12x = 43 + -4(6x + 1)

Combine like terms: 24 + -9 = 15
15 + -12x = 43 + -4(6x + 1)

Reorder the terms:
15 + -12x = 43 + -4(1 + 6x)
15 + -12x = 43 + (1 * -4 + 6x * -4)
15 + -12x = 43 + (-4 + -24x)

Combine like terms: 43 + -4 = 39
15 + -12x = 39 + -24x

Solving
15 + -12x = 39 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
15 + -12x + 24x = 39 + -24x + 24x

Combine like terms: -12x + 24x = 12x
15 + 12x = 39 + -24x + 24x

Combine like terms: -24x + 24x = 0
15 + 12x = 39 + 0
15 + 12x = 39

Add '-15' to each side of the equation.
15 + -15 + 12x = 39 + -15

Combine like terms: 15 + -15 = 0
0 + 12x = 39 + -15
12x = 39 + -15

Combine like terms: 39 + -15 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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