21-(9x-12)=10x+(65-3x)

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Solution for 21-(9x-12)=10x+(65-3x) equation:


Simplifying
21 + -1(9x + -12) = 10x + (65 + -3x)

Reorder the terms:
21 + -1(-12 + 9x) = 10x + (65 + -3x)
21 + (-12 * -1 + 9x * -1) = 10x + (65 + -3x)
21 + (12 + -9x) = 10x + (65 + -3x)

Combine like terms: 21 + 12 = 33
33 + -9x = 10x + (65 + -3x)

Remove parenthesis around (65 + -3x)
33 + -9x = 10x + 65 + -3x

Reorder the terms:
33 + -9x = 65 + 10x + -3x

Combine like terms: 10x + -3x = 7x
33 + -9x = 65 + 7x

Solving
33 + -9x = 65 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
33 + -9x + -7x = 65 + 7x + -7x

Combine like terms: -9x + -7x = -16x
33 + -16x = 65 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + -16x = 65 + 0
33 + -16x = 65

Add '-33' to each side of the equation.
33 + -33 + -16x = 65 + -33

Combine like terms: 33 + -33 = 0
0 + -16x = 65 + -33
-16x = 65 + -33

Combine like terms: 65 + -33 = 32
-16x = 32

Divide each side by '-16'.
x = -2

Simplifying
x = -2

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