42-(x+9)=8x-3

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Solution for 42-(x+9)=8x-3 equation:


Simplifying
42 + -1(x + 9) = 8x + -3

Reorder the terms:
42 + -1(9 + x) = 8x + -3
42 + (9 * -1 + x * -1) = 8x + -3
42 + (-9 + -1x) = 8x + -3

Combine like terms: 42 + -9 = 33
33 + -1x = 8x + -3

Reorder the terms:
33 + -1x = -3 + 8x

Solving
33 + -1x = -3 + 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.
33 + -1x + -8x = -3 + 8x + -8x

Combine like terms: -1x + -8x = -9x
33 + -9x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
33 + -9x = -3 + 0
33 + -9x = -3

Add '-33' to each side of the equation.
33 + -33 + -9x = -3 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -3 + -33
-9x = -3 + -33

Combine like terms: -3 + -33 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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