7-8x-2=40+3x-10

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Solution for 7-8x-2=40+3x-10 equation:


Simplifying
7 + -8x + -2 = 40 + 3x + -10

Reorder the terms:
7 + -2 + -8x = 40 + 3x + -10

Combine like terms: 7 + -2 = 5
5 + -8x = 40 + 3x + -10

Reorder the terms:
5 + -8x = 40 + -10 + 3x

Combine like terms: 40 + -10 = 30
5 + -8x = 30 + 3x

Solving
5 + -8x = 30 + 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.
5 + -8x + -3x = 30 + 3x + -3x

Combine like terms: -8x + -3x = -11x
5 + -11x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -11x = 30 + 0
5 + -11x = 30

Add '-5' to each side of the equation.
5 + -5 + -11x = 30 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 30 + -5
-11x = 30 + -5

Combine like terms: 30 + -5 = 25
-11x = 25

Divide each side by '-11'.
x = -2.272727273

Simplifying
x = -2.272727273

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