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

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


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

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

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

Solving
3 + 6x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 6x + -2x = 8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = 8 + 0
3 + 4x = 8

Add '-3' to each side of the equation.
3 + -3 + 4x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 8 + -3
4x = 8 + -3

Combine like terms: 8 + -3 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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