8(5x+1)=2x-7x

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Solution for 8(5x+1)=2x-7x equation:


Simplifying
8(5x + 1) = 2x + -7x

Reorder the terms:
8(1 + 5x) = 2x + -7x
(1 * 8 + 5x * 8) = 2x + -7x
(8 + 40x) = 2x + -7x

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

Solving
8 + 40x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + 40x + 5x = -5x + 5x

Combine like terms: 40x + 5x = 45x
8 + 45x = -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 45x = 0

Add '-8' to each side of the equation.
8 + -8 + 45x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 45x = 0 + -8
45x = 0 + -8

Combine like terms: 0 + -8 = -8
45x = -8

Divide each side by '45'.
x = -0.1777777778

Simplifying
x = -0.1777777778

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