10(t-40)=15(0-t)

Solution for 10(t-40)=15(0-t) equation:

Simplifying
10(t + -40) = 15(0 + -1t)

Reorder the terms:
10(-40 + t) = 15(0 + -1t)
(-40 * 10 + t * 10) = 15(0 + -1t)
(-400 + 10t) = 15(0 + -1t)
Remove the zero:
-400 + 10t = 15(-1t)

Remove parenthesis around (-1t)
-400 + 10t = 15 * -1t

Multiply 15 * -1
-400 + 10t = -15t

Solving
-400 + 10t = -15t

Solving for variable 't'.

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

Add '15t' to each side of the equation.
-400 + 10t + 15t = -15t + 15t

Combine like terms: 10t + 15t = 25t
-400 + 25t = -15t + 15t

Combine like terms: -15t + 15t = 0
-400 + 25t = 0

Add '400' to each side of the equation.
-400 + 400 + 25t = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 25t = 0 + 400
25t = 0 + 400

Combine like terms: 0 + 400 = 400
25t = 400

Divide each side by '25'.
t = 16

Simplifying
t = 16