3(t+75)=-15(10-t)

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Solution for 3(t+75)=-15(10-t) equation: 


Simplifying
3(t + 75) = -15(10 + -1t)

Reorder the terms:
3(75 + t) = -15(10 + -1t)
(75 * 3 + t * 3) = -15(10 + -1t)
(225 + 3t) = -15(10 + -1t)
225 + 3t = (10 * -15 + -1t * -15)
225 + 3t = (-150 + 15t)

Solving
225 + 3t = -150 + 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.
225 + 3t + -15t = -150 + 15t + -15t

Combine like terms: 3t + -15t = -12t
225 + -12t = -150 + 15t + -15t

Combine like terms: 15t + -15t = 0
225 + -12t = -150 + 0
225 + -12t = -150

Add '-225' to each side of the equation.
225 + -225 + -12t = -150 + -225

Combine like terms: 225 + -225 = 0
0 + -12t = -150 + -225
-12t = -150 + -225

Combine like terms: -150 + -225 = -375
-12t = -375

Divide each side by '-12'.
t = 31.25

Simplifying
t = 31.25

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