9(5-2(x-1))=21+6(x+3)

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Solution for 9(5-2(x-1))=21+6(x+3) equation:


Simplifying
9(5 + -2(x + -1)) = 21 + 6(x + 3)

Reorder the terms:
9(5 + -2(-1 + x)) = 21 + 6(x + 3)
9(5 + (-1 * -2 + x * -2)) = 21 + 6(x + 3)
9(5 + (2 + -2x)) = 21 + 6(x + 3)

Combine like terms: 5 + 2 = 7
9(7 + -2x) = 21 + 6(x + 3)
(7 * 9 + -2x * 9) = 21 + 6(x + 3)
(63 + -18x) = 21 + 6(x + 3)

Reorder the terms:
63 + -18x = 21 + 6(3 + x)
63 + -18x = 21 + (3 * 6 + x * 6)
63 + -18x = 21 + (18 + 6x)

Combine like terms: 21 + 18 = 39
63 + -18x = 39 + 6x

Solving
63 + -18x = 39 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
63 + -18x + -6x = 39 + 6x + -6x

Combine like terms: -18x + -6x = -24x
63 + -24x = 39 + 6x + -6x

Combine like terms: 6x + -6x = 0
63 + -24x = 39 + 0
63 + -24x = 39

Add '-63' to each side of the equation.
63 + -63 + -24x = 39 + -63

Combine like terms: 63 + -63 = 0
0 + -24x = 39 + -63
-24x = 39 + -63

Combine like terms: 39 + -63 = -24
-24x = -24

Divide each side by '-24'.
x = 1

Simplifying
x = 1

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