3(2x-1)=2(4x+5)

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Solution for 3(2x-1)=2(4x+5) equation:


Simplifying
3(2x + -1) = 2(4x + 5)

Reorder the terms:
3(-1 + 2x) = 2(4x + 5)
(-1 * 3 + 2x * 3) = 2(4x + 5)
(-3 + 6x) = 2(4x + 5)

Reorder the terms:
-3 + 6x = 2(5 + 4x)
-3 + 6x = (5 * 2 + 4x * 2)
-3 + 6x = (10 + 8x)

Solving
-3 + 6x = 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.
-3 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-3 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -2x = 10 + 0
-3 + -2x = 10

Add '3' to each side of the equation.
-3 + 3 + -2x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 10 + 3
-2x = 10 + 3

Combine like terms: 10 + 3 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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