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

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


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

Reorder the terms:
5(1 + 2x) = 3(4x + -2)
(1 * 5 + 2x * 5) = 3(4x + -2)
(5 + 10x) = 3(4x + -2)

Reorder the terms:
5 + 10x = 3(-2 + 4x)
5 + 10x = (-2 * 3 + 4x * 3)
5 + 10x = (-6 + 12x)

Solving
5 + 10x = -6 + 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.
5 + 10x + -12x = -6 + 12x + -12x

Combine like terms: 10x + -12x = -2x
5 + -2x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -2x = -6 + 0
5 + -2x = -6

Add '-5' to each side of the equation.
5 + -5 + -2x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -6 + -5
-2x = -6 + -5

Combine like terms: -6 + -5 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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