3(8x-2)=46-2(12x+1)

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Solution for 3(8x-2)=46-2(12x+1) equation:


Simplifying
3(8x + -2) = 46 + -2(12x + 1)

Reorder the terms:
3(-2 + 8x) = 46 + -2(12x + 1)
(-2 * 3 + 8x * 3) = 46 + -2(12x + 1)
(-6 + 24x) = 46 + -2(12x + 1)

Reorder the terms:
-6 + 24x = 46 + -2(1 + 12x)
-6 + 24x = 46 + (1 * -2 + 12x * -2)
-6 + 24x = 46 + (-2 + -24x)

Combine like terms: 46 + -2 = 44
-6 + 24x = 44 + -24x

Solving
-6 + 24x = 44 + -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.
-6 + 24x + 24x = 44 + -24x + 24x

Combine like terms: 24x + 24x = 48x
-6 + 48x = 44 + -24x + 24x

Combine like terms: -24x + 24x = 0
-6 + 48x = 44 + 0
-6 + 48x = 44

Add '6' to each side of the equation.
-6 + 6 + 48x = 44 + 6

Combine like terms: -6 + 6 = 0
0 + 48x = 44 + 6
48x = 44 + 6

Combine like terms: 44 + 6 = 50
48x = 50

Divide each side by '48'.
x = 1.041666667

Simplifying
x = 1.041666667

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