14-3(5t-112)=1-(20t+1)

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Solution for 14-3(5t-112)=1-(20t+1) equation:


Simplifying
14 + -3(5t + -112) = 1 + -1(20t + 1)

Reorder the terms:
14 + -3(-112 + 5t) = 1 + -1(20t + 1)
14 + (-112 * -3 + 5t * -3) = 1 + -1(20t + 1)
14 + (336 + -15t) = 1 + -1(20t + 1)

Combine like terms: 14 + 336 = 350
350 + -15t = 1 + -1(20t + 1)

Reorder the terms:
350 + -15t = 1 + -1(1 + 20t)
350 + -15t = 1 + (1 * -1 + 20t * -1)
350 + -15t = 1 + (-1 + -20t)

Combine like terms: 1 + -1 = 0
350 + -15t = 0 + -20t
350 + -15t = -20t

Solving
350 + -15t = -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
350 + -15t + 20t = -20t + 20t

Combine like terms: -15t + 20t = 5t
350 + 5t = -20t + 20t

Combine like terms: -20t + 20t = 0
350 + 5t = 0

Add '-350' to each side of the equation.
350 + -350 + 5t = 0 + -350

Combine like terms: 350 + -350 = 0
0 + 5t = 0 + -350
5t = 0 + -350

Combine like terms: 0 + -350 = -350
5t = -350

Divide each side by '5'.
t = -70

Simplifying
t = -70

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