8(x+5)-(3x-1)=5

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Solution for 8(x+5)-(3x-1)=5 equation:


Simplifying
8(x + 5) + -1(3x + -1) = 5

Reorder the terms:
8(5 + x) + -1(3x + -1) = 5
(5 * 8 + x * 8) + -1(3x + -1) = 5
(40 + 8x) + -1(3x + -1) = 5

Reorder the terms:
40 + 8x + -1(-1 + 3x) = 5
40 + 8x + (-1 * -1 + 3x * -1) = 5
40 + 8x + (1 + -3x) = 5

Reorder the terms:
40 + 1 + 8x + -3x = 5

Combine like terms: 40 + 1 = 41
41 + 8x + -3x = 5

Combine like terms: 8x + -3x = 5x
41 + 5x = 5

Solving
41 + 5x = 5

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 5x = 5 + -41

Combine like terms: 41 + -41 = 0
0 + 5x = 5 + -41
5x = 5 + -41

Combine like terms: 5 + -41 = -36
5x = -36

Divide each side by '5'.
x = -7.2

Simplifying
x = -7.2

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