4(2t+5)-7=5(t+5)

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Solution for 4(2t+5)-7=5(t+5) equation:


Simplifying
4(2t + 5) + -7 = 5(t + 5)

Reorder the terms:
4(5 + 2t) + -7 = 5(t + 5)
(5 * 4 + 2t * 4) + -7 = 5(t + 5)
(20 + 8t) + -7 = 5(t + 5)

Reorder the terms:
20 + -7 + 8t = 5(t + 5)

Combine like terms: 20 + -7 = 13
13 + 8t = 5(t + 5)

Reorder the terms:
13 + 8t = 5(5 + t)
13 + 8t = (5 * 5 + t * 5)
13 + 8t = (25 + 5t)

Solving
13 + 8t = 25 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
13 + 8t + -5t = 25 + 5t + -5t

Combine like terms: 8t + -5t = 3t
13 + 3t = 25 + 5t + -5t

Combine like terms: 5t + -5t = 0
13 + 3t = 25 + 0
13 + 3t = 25

Add '-13' to each side of the equation.
13 + -13 + 3t = 25 + -13

Combine like terms: 13 + -13 = 0
0 + 3t = 25 + -13
3t = 25 + -13

Combine like terms: 25 + -13 = 12
3t = 12

Divide each side by '3'.
t = 4

Simplifying
t = 4

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