3(8x+4)=(10x-9)

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Solution for 3(8x+4)=(10x-9) equation:


Simplifying
3(8x + 4) = (10x + -9)

Reorder the terms:
3(4 + 8x) = (10x + -9)
(4 * 3 + 8x * 3) = (10x + -9)
(12 + 24x) = (10x + -9)

Reorder the terms:
12 + 24x = (-9 + 10x)

Remove parenthesis around (-9 + 10x)
12 + 24x = -9 + 10x

Solving
12 + 24x = -9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 24x + -10x = -9 + 10x + -10x

Combine like terms: 24x + -10x = 14x
12 + 14x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 14x = -9 + 0
12 + 14x = -9

Add '-12' to each side of the equation.
12 + -12 + 14x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = -9 + -12
14x = -9 + -12

Combine like terms: -9 + -12 = -21
14x = -21

Divide each side by '14'.
x = -1.5

Simplifying
x = -1.5

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