8x-6-5x+40=7-3x-2

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Solution for 8x-6-5x+40=7-3x-2 equation:


Simplifying
8x + -6 + -5x + 40 = 7 + -3x + -2

Reorder the terms:
-6 + 40 + 8x + -5x = 7 + -3x + -2

Combine like terms: -6 + 40 = 34
34 + 8x + -5x = 7 + -3x + -2

Combine like terms: 8x + -5x = 3x
34 + 3x = 7 + -3x + -2

Reorder the terms:
34 + 3x = 7 + -2 + -3x

Combine like terms: 7 + -2 = 5
34 + 3x = 5 + -3x

Solving
34 + 3x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
34 + 3x + 3x = 5 + -3x + 3x

Combine like terms: 3x + 3x = 6x
34 + 6x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + 6x = 5 + 0
34 + 6x = 5

Add '-34' to each side of the equation.
34 + -34 + 6x = 5 + -34

Combine like terms: 34 + -34 = 0
0 + 6x = 5 + -34
6x = 5 + -34

Combine like terms: 5 + -34 = -29
6x = -29

Divide each side by '6'.
x = -4.833333333

Simplifying
x = -4.833333333

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