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

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


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

Reorder the terms:
3(4 + x) = 2(4x + 1)
(4 * 3 + x * 3) = 2(4x + 1)
(12 + 3x) = 2(4x + 1)

Reorder the terms:
12 + 3x = 2(1 + 4x)
12 + 3x = (1 * 2 + 4x * 2)
12 + 3x = (2 + 8x)

Solving
12 + 3x = 2 + 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.
12 + 3x + -8x = 2 + 8x + -8x

Combine like terms: 3x + -8x = -5x
12 + -5x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -5x = 2 + 0
12 + -5x = 2

Add '-12' to each side of the equation.
12 + -12 + -5x = 2 + -12

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

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

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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