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

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


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

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

Remove parenthesis around (4 + 3x)
4 + 3x = 2(4x + 1)

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

Solving
4 + 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.
4 + 3x + -8x = 2 + 8x + -8x

Combine like terms: 3x + -8x = -5x
4 + -5x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -5x = 2 + 0
4 + -5x = 2

Add '-4' to each side of the equation.
4 + -4 + -5x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 2 + -4
-5x = 2 + -4

Combine like terms: 2 + -4 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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