3(8x-4)=14-6(2x-3)

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Solution for 3(8x-4)=14-6(2x-3) equation:


Simplifying
3(8x + -4) = 14 + -6(2x + -3)

Reorder the terms:
3(-4 + 8x) = 14 + -6(2x + -3)
(-4 * 3 + 8x * 3) = 14 + -6(2x + -3)
(-12 + 24x) = 14 + -6(2x + -3)

Reorder the terms:
-12 + 24x = 14 + -6(-3 + 2x)
-12 + 24x = 14 + (-3 * -6 + 2x * -6)
-12 + 24x = 14 + (18 + -12x)

Combine like terms: 14 + 18 = 32
-12 + 24x = 32 + -12x

Solving
-12 + 24x = 32 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-12 + 24x + 12x = 32 + -12x + 12x

Combine like terms: 24x + 12x = 36x
-12 + 36x = 32 + -12x + 12x

Combine like terms: -12x + 12x = 0
-12 + 36x = 32 + 0
-12 + 36x = 32

Add '12' to each side of the equation.
-12 + 12 + 36x = 32 + 12

Combine like terms: -12 + 12 = 0
0 + 36x = 32 + 12
36x = 32 + 12

Combine like terms: 32 + 12 = 44
36x = 44

Divide each side by '36'.
x = 1.222222222

Simplifying
x = 1.222222222

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