6(4-x)+4=-4(x-4)-7

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


Simplifying
6(4 + -1x) + 4 = -4(x + -4) + -7
(4 * 6 + -1x * 6) + 4 = -4(x + -4) + -7
(24 + -6x) + 4 = -4(x + -4) + -7

Reorder the terms:
24 + 4 + -6x = -4(x + -4) + -7

Combine like terms: 24 + 4 = 28
28 + -6x = -4(x + -4) + -7

Reorder the terms:
28 + -6x = -4(-4 + x) + -7
28 + -6x = (-4 * -4 + x * -4) + -7
28 + -6x = (16 + -4x) + -7

Reorder the terms:
28 + -6x = 16 + -7 + -4x

Combine like terms: 16 + -7 = 9
28 + -6x = 9 + -4x

Solving
28 + -6x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
28 + -6x + 4x = 9 + -4x + 4x

Combine like terms: -6x + 4x = -2x
28 + -2x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
28 + -2x = 9 + 0
28 + -2x = 9

Add '-28' to each side of the equation.
28 + -28 + -2x = 9 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 9 + -28
-2x = 9 + -28

Combine like terms: 9 + -28 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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