9(2t-1)-13=t-(t+3)

Solution for 9(2t-1)-13=t-(t+3) equation:

Simplifying
9(2t + -1) + -13 = t + -1(t + 3)

Reorder the terms:
9(-1 + 2t) + -13 = t + -1(t + 3)
(-1 * 9 + 2t * 9) + -13 = t + -1(t + 3)
(-9 + 18t) + -13 = t + -1(t + 3)

Reorder the terms:
-9 + -13 + 18t = t + -1(t + 3)

Combine like terms: -9 + -13 = -22
-22 + 18t = t + -1(t + 3)

Reorder the terms:
-22 + 18t = t + -1(3 + t)
-22 + 18t = t + (3 * -1 + t * -1)
-22 + 18t = t + (-3 + -1t)

Reorder the terms:
-22 + 18t = -3 + t + -1t

Combine like terms: t + -1t = 0
-22 + 18t = -3 + 0
-22 + 18t = -3

Solving
-22 + 18t = -3

Solving for variable 't'.

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

Add '22' to each side of the equation.
-22 + 22 + 18t = -3 + 22

Combine like terms: -22 + 22 = 0
0 + 18t = -3 + 22
18t = -3 + 22

Combine like terms: -3 + 22 = 19
18t = 19

Divide each side by '18'.
t = 1.055555556

Simplifying
t = 1.055555556