7(x+9)=4[x-(6-x)]

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Solution for 7(x+9)=4[x-(6-x)] equation:


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

Reorder the terms:
7(9 + x) = 4[x + -1(6 + -1x)]
(9 * 7 + x * 7) = 4[x + -1(6 + -1x)]
(63 + 7x) = 4[x + -1(6 + -1x)]
63 + 7x = 4[x + (6 * -1 + -1x * -1)]
63 + 7x = 4[x + (-6 + 1x)]

Reorder the terms:
63 + 7x = 4[-6 + x + 1x]

Combine like terms: x + 1x = 2x
63 + 7x = 4[-6 + 2x]
63 + 7x = [-6 * 4 + 2x * 4]
63 + 7x = [-24 + 8x]

Solving
63 + 7x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
63 + 7x + -8x = -24 + 8x + -8x

Combine like terms: 7x + -8x = -1x
63 + -1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
63 + -1x = -24 + 0
63 + -1x = -24

Add '-63' to each side of the equation.
63 + -63 + -1x = -24 + -63

Combine like terms: 63 + -63 = 0
0 + -1x = -24 + -63
-1x = -24 + -63

Combine like terms: -24 + -63 = -87
-1x = -87

Divide each side by '-1'.
x = 87

Simplifying
x = 87

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