42-(x+9)=9x-7

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Solution for 42-(x+9)=9x-7 equation: 


Simplifying
42 + -1(x + 9) = 9x + -7

Reorder the terms:
42 + -1(9 + x) = 9x + -7
42 + (9 * -1 + x * -1) = 9x + -7
42 + (-9 + -1x) = 9x + -7

Combine like terms: 42 + -9 = 33
33 + -1x = 9x + -7

Reorder the terms:
33 + -1x = -7 + 9x

Solving
33 + -1x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
33 + -1x + -9x = -7 + 9x + -9x

Combine like terms: -1x + -9x = -10x
33 + -10x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
33 + -10x = -7 + 0
33 + -10x = -7

Add '-33' to each side of the equation.
33 + -33 + -10x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -7 + -33
-10x = -7 + -33

Combine like terms: -7 + -33 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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