6(3x+4)=5x-(3x+4)

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Solution for 6(3x+4)=5x-(3x+4) equation:


Simplifying
6(3x + 4) = 5x + -1(3x + 4)

Reorder the terms:
6(4 + 3x) = 5x + -1(3x + 4)
(4 * 6 + 3x * 6) = 5x + -1(3x + 4)
(24 + 18x) = 5x + -1(3x + 4)

Reorder the terms:
24 + 18x = 5x + -1(4 + 3x)
24 + 18x = 5x + (4 * -1 + 3x * -1)
24 + 18x = 5x + (-4 + -3x)

Reorder the terms:
24 + 18x = -4 + 5x + -3x

Combine like terms: 5x + -3x = 2x
24 + 18x = -4 + 2x

Solving
24 + 18x = -4 + 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.
24 + 18x + -2x = -4 + 2x + -2x

Combine like terms: 18x + -2x = 16x
24 + 16x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 16x = -4 + 0
24 + 16x = -4

Add '-24' to each side of the equation.
24 + -24 + 16x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + 16x = -4 + -24
16x = -4 + -24

Combine like terms: -4 + -24 = -28
16x = -28

Divide each side by '16'.
x = -1.75

Simplifying
x = -1.75

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