6(x+4)=5(7-x)-4(2-3x)

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Solution for 6(x+4)=5(7-x)-4(2-3x) equation:


Simplifying
6(x + 4) = 5(7 + -1x) + -4(2 + -3x)

Reorder the terms:
6(4 + x) = 5(7 + -1x) + -4(2 + -3x)
(4 * 6 + x * 6) = 5(7 + -1x) + -4(2 + -3x)
(24 + 6x) = 5(7 + -1x) + -4(2 + -3x)
24 + 6x = (7 * 5 + -1x * 5) + -4(2 + -3x)
24 + 6x = (35 + -5x) + -4(2 + -3x)
24 + 6x = 35 + -5x + (2 * -4 + -3x * -4)
24 + 6x = 35 + -5x + (-8 + 12x)

Reorder the terms:
24 + 6x = 35 + -8 + -5x + 12x

Combine like terms: 35 + -8 = 27
24 + 6x = 27 + -5x + 12x

Combine like terms: -5x + 12x = 7x
24 + 6x = 27 + 7x

Solving
24 + 6x = 27 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 6x + -7x = 27 + 7x + -7x

Combine like terms: 6x + -7x = -1x
24 + -1x = 27 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -1x = 27 + 0
24 + -1x = 27

Add '-24' to each side of the equation.
24 + -24 + -1x = 27 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 27 + -24
-1x = 27 + -24

Combine like terms: 27 + -24 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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