6(x+4)-7x=4(3x+1)-9x

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Solution for 6(x+4)-7x=4(3x+1)-9x equation: 


Simplifying
6(x + 4) + -7x = 4(3x + 1) + -9x

Reorder the terms:
6(4 + x) + -7x = 4(3x + 1) + -9x
(4 * 6 + x * 6) + -7x = 4(3x + 1) + -9x
(24 + 6x) + -7x = 4(3x + 1) + -9x

Combine like terms: 6x + -7x = -1x
24 + -1x = 4(3x + 1) + -9x

Reorder the terms:
24 + -1x = 4(1 + 3x) + -9x
24 + -1x = (1 * 4 + 3x * 4) + -9x
24 + -1x = (4 + 12x) + -9x

Combine like terms: 12x + -9x = 3x
24 + -1x = 4 + 3x

Solving
24 + -1x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + -1x + -3x = 4 + 3x + -3x

Combine like terms: -1x + -3x = -4x
24 + -4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -4x = 4 + 0
24 + -4x = 4

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

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

Combine like terms: 4 + -24 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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