4t-(3+t)=t+7

Solution for 4t-(3+t)=t+7 equation:

Simplifying
4t + -1(3 + t) = t + 7
4t + (3 * -1 + t * -1) = t + 7
4t + (-3 + -1t) = t + 7

Reorder the terms:
-3 + 4t + -1t = t + 7

Combine like terms: 4t + -1t = 3t
-3 + 3t = t + 7

Reorder the terms:
-3 + 3t = 7 + t

Solving
-3 + 3t = 7 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-3 + 3t + -1t = 7 + t + -1t

Combine like terms: 3t + -1t = 2t
-3 + 2t = 7 + t + -1t

Combine like terms: t + -1t = 0
-3 + 2t = 7 + 0
-3 + 2t = 7

Add '3' to each side of the equation.
-3 + 3 + 2t = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = 7 + 3
2t = 7 + 3

Combine like terms: 7 + 3 = 10
2t = 10

Divide each side by '2'.
t = 5

Simplifying
t = 5