3(2x+1)=5(2x-9)

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Solution for 3(2x+1)=5(2x-9) equation:


Simplifying
3(2x + 1) = 5(2x + -9)

Reorder the terms:
3(1 + 2x) = 5(2x + -9)
(1 * 3 + 2x * 3) = 5(2x + -9)
(3 + 6x) = 5(2x + -9)

Reorder the terms:
3 + 6x = 5(-9 + 2x)
3 + 6x = (-9 * 5 + 2x * 5)
3 + 6x = (-45 + 10x)

Solving
3 + 6x = -45 + 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.
3 + 6x + -10x = -45 + 10x + -10x

Combine like terms: 6x + -10x = -4x
3 + -4x = -45 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -4x = -45 + 0
3 + -4x = -45

Add '-3' to each side of the equation.
3 + -3 + -4x = -45 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -45 + -3
-4x = -45 + -3

Combine like terms: -45 + -3 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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