2(t-5)-4(2t+3)=

Solution for 2(t-5)-4(2t+3)= equation:

Simplifying
2(t + -5) + -4(2t + 3) = 0

Reorder the terms:
2(-5 + t) + -4(2t + 3) = 0
(-5 * 2 + t * 2) + -4(2t + 3) = 0
(-10 + 2t) + -4(2t + 3) = 0

Reorder the terms:
-10 + 2t + -4(3 + 2t) = 0
-10 + 2t + (3 * -4 + 2t * -4) = 0
-10 + 2t + (-12 + -8t) = 0

Reorder the terms:
-10 + -12 + 2t + -8t = 0

Combine like terms: -10 + -12 = -22
-22 + 2t + -8t = 0

Combine like terms: 2t + -8t = -6t
-22 + -6t = 0

Solving
-22 + -6t = 0

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 + -6t = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -6t = 0 + 22
-6t = 0 + 22

Combine like terms: 0 + 22 = 22
-6t = 22

Divide each side by '-6'.
t = -3.666666667

Simplifying
t = -3.666666667