3(T+1)-T-10=4(T+4)+3

Solution for 3(T+1)-T-10=4(T+4)+3 equation:

Simplifying
3(T + 1) + -1T + -10 = 4(T + 4) + 3

Reorder the terms:
3(1 + T) + -1T + -10 = 4(T + 4) + 3
(1 * 3 + T * 3) + -1T + -10 = 4(T + 4) + 3
(3 + 3T) + -1T + -10 = 4(T + 4) + 3

Reorder the terms:
3 + -10 + 3T + -1T = 4(T + 4) + 3

Combine like terms: 3 + -10 = -7
-7 + 3T + -1T = 4(T + 4) + 3

Combine like terms: 3T + -1T = 2T
-7 + 2T = 4(T + 4) + 3

Reorder the terms:
-7 + 2T = 4(4 + T) + 3
-7 + 2T = (4 * 4 + T * 4) + 3
-7 + 2T = (16 + 4T) + 3

Reorder the terms:
-7 + 2T = 16 + 3 + 4T

Combine like terms: 16 + 3 = 19
-7 + 2T = 19 + 4T

Solving
-7 + 2T = 19 + 4T

Solving for variable 'T'.

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

Add '-4T' to each side of the equation.
-7 + 2T + -4T = 19 + 4T + -4T

Combine like terms: 2T + -4T = -2T
-7 + -2T = 19 + 4T + -4T

Combine like terms: 4T + -4T = 0
-7 + -2T = 19 + 0
-7 + -2T = 19

Add '7' to each side of the equation.
-7 + 7 + -2T = 19 + 7

Combine like terms: -7 + 7 = 0
0 + -2T = 19 + 7
-2T = 19 + 7

Combine like terms: 19 + 7 = 26
-2T = 26

Divide each side by '-2'.
T = -13

Simplifying
T = -13