9-2(x+3)=16(x+5)-36

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Solution for 9-2(x+3)=16(x+5)-36 equation:


Simplifying
9 + -2(x + 3) = 16(x + 5) + -36

Reorder the terms:
9 + -2(3 + x) = 16(x + 5) + -36
9 + (3 * -2 + x * -2) = 16(x + 5) + -36
9 + (-6 + -2x) = 16(x + 5) + -36

Combine like terms: 9 + -6 = 3
3 + -2x = 16(x + 5) + -36

Reorder the terms:
3 + -2x = 16(5 + x) + -36
3 + -2x = (5 * 16 + x * 16) + -36
3 + -2x = (80 + 16x) + -36

Reorder the terms:
3 + -2x = 80 + -36 + 16x

Combine like terms: 80 + -36 = 44
3 + -2x = 44 + 16x

Solving
3 + -2x = 44 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
3 + -2x + -16x = 44 + 16x + -16x

Combine like terms: -2x + -16x = -18x
3 + -18x = 44 + 16x + -16x

Combine like terms: 16x + -16x = 0
3 + -18x = 44 + 0
3 + -18x = 44

Add '-3' to each side of the equation.
3 + -3 + -18x = 44 + -3

Combine like terms: 3 + -3 = 0
0 + -18x = 44 + -3
-18x = 44 + -3

Combine like terms: 44 + -3 = 41
-18x = 41

Divide each side by '-18'.
x = -2.277777778

Simplifying
x = -2.277777778

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