4(t-5)+6t=(2t+4)-10

Solution for 4(t-5)+6t=(2t+4)-10 equation:

Simplifying
4(t + -5) + 6t = (2t + 4) + -10

Reorder the terms:
4(-5 + t) + 6t = (2t + 4) + -10
(-5 * 4 + t * 4) + 6t = (2t + 4) + -10
(-20 + 4t) + 6t = (2t + 4) + -10

Combine like terms: 4t + 6t = 10t
-20 + 10t = (2t + 4) + -10

Reorder the terms:
-20 + 10t = (4 + 2t) + -10

Remove parenthesis around (4 + 2t)
-20 + 10t = 4 + 2t + -10

Reorder the terms:
-20 + 10t = 4 + -10 + 2t

Combine like terms: 4 + -10 = -6
-20 + 10t = -6 + 2t

Solving
-20 + 10t = -6 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-20 + 10t + -2t = -6 + 2t + -2t

Combine like terms: 10t + -2t = 8t
-20 + 8t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-20 + 8t = -6 + 0
-20 + 8t = -6

Add '20' to each side of the equation.
-20 + 20 + 8t = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 8t = -6 + 20
8t = -6 + 20

Combine like terms: -6 + 20 = 14
8t = 14

Divide each side by '8'.
t = 1.75

Simplifying
t = 1.75