3(4x-2)=2(4x+5)

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Solution for 3(4x-2)=2(4x+5) equation:


Simplifying
3(4x + -2) = 2(4x + 5)

Reorder the terms:
3(-2 + 4x) = 2(4x + 5)
(-2 * 3 + 4x * 3) = 2(4x + 5)
(-6 + 12x) = 2(4x + 5)

Reorder the terms:
-6 + 12x = 2(5 + 4x)
-6 + 12x = (5 * 2 + 4x * 2)
-6 + 12x = (10 + 8x)

Solving
-6 + 12x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 12x + -8x = 10 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-6 + 4x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + 4x = 10 + 0
-6 + 4x = 10

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

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

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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