41-(x+7)=8x-2

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Solution for 41-(x+7)=8x-2 equation:


Simplifying
41 + -1(x + 7) = 8x + -2

Reorder the terms:
41 + -1(7 + x) = 8x + -2
41 + (7 * -1 + x * -1) = 8x + -2
41 + (-7 + -1x) = 8x + -2

Combine like terms: 41 + -7 = 34
34 + -1x = 8x + -2

Reorder the terms:
34 + -1x = -2 + 8x

Solving
34 + -1x = -2 + 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.
34 + -1x + -8x = -2 + 8x + -8x

Combine like terms: -1x + -8x = -9x
34 + -9x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + -9x = -2 + 0
34 + -9x = -2

Add '-34' to each side of the equation.
34 + -34 + -9x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -2 + -34
-9x = -2 + -34

Combine like terms: -2 + -34 = -36
-9x = -36

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

Simplifying
x = 4

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