42-(x+8)=9x-6

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Solution for 42-(x+8)=9x-6 equation:


Simplifying
42 + -1(x + 8) = 9x + -6

Reorder the terms:
42 + -1(8 + x) = 9x + -6
42 + (8 * -1 + x * -1) = 9x + -6
42 + (-8 + -1x) = 9x + -6

Combine like terms: 42 + -8 = 34
34 + -1x = 9x + -6

Reorder the terms:
34 + -1x = -6 + 9x

Solving
34 + -1x = -6 + 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.
34 + -1x + -9x = -6 + 9x + -9x

Combine like terms: -1x + -9x = -10x
34 + -10x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
34 + -10x = -6 + 0
34 + -10x = -6

Add '-34' to each side of the equation.
34 + -34 + -10x = -6 + -34

Combine like terms: 34 + -34 = 0
0 + -10x = -6 + -34
-10x = -6 + -34

Combine like terms: -6 + -34 = -40
-10x = -40

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

Simplifying
x = 4

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