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

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


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

Reorder the terms:
2(3 + 4x) = 3x + -1(2x + 4)
(3 * 2 + 4x * 2) = 3x + -1(2x + 4)
(6 + 8x) = 3x + -1(2x + 4)

Reorder the terms:
6 + 8x = 3x + -1(4 + 2x)
6 + 8x = 3x + (4 * -1 + 2x * -1)
6 + 8x = 3x + (-4 + -2x)

Reorder the terms:
6 + 8x = -4 + 3x + -2x

Combine like terms: 3x + -2x = 1x
6 + 8x = -4 + 1x

Solving
6 + 8x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 8x + -1x = -4 + 1x + -1x

Combine like terms: 8x + -1x = 7x
6 + 7x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 7x = -4 + 0
6 + 7x = -4

Add '-6' to each side of the equation.
6 + -6 + 7x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -4 + -6
7x = -4 + -6

Combine like terms: -4 + -6 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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