8(5x+1)-15=t-(t+6)

Solution for 8(5x+1)-15=t-(t+6) equation:

Simplifying
8(5x + 1) + -15 = t + -1(t + 6)

Reorder the terms:
8(1 + 5x) + -15 = t + -1(t + 6)
(1 * 8 + 5x * 8) + -15 = t + -1(t + 6)
(8 + 40x) + -15 = t + -1(t + 6)

Reorder the terms:
8 + -15 + 40x = t + -1(t + 6)

Combine like terms: 8 + -15 = -7
-7 + 40x = t + -1(t + 6)

Reorder the terms:
-7 + 40x = t + -1(6 + t)
-7 + 40x = t + (6 * -1 + t * -1)
-7 + 40x = t + (-6 + -1t)

Reorder the terms:
-7 + 40x = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 40x = -6 + 0
-7 + 40x = -6

Solving
-7 + 40x = -6

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 40x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 40x = -6 + 7
40x = -6 + 7

Combine like terms: -6 + 7 = 1
40x = 1

Divide each side by '40'.
x = 0.025

Simplifying
x = 0.025