6(t-7)=4(t+10)+8

Solution for 6(t-7)=4(t+10)+8 equation:

Simplifying
6(t + -7) = 4(t + 10) + 8

Reorder the terms:
6(-7 + t) = 4(t + 10) + 8
(-7 * 6 + t * 6) = 4(t + 10) + 8
(-42 + 6t) = 4(t + 10) + 8

Reorder the terms:
-42 + 6t = 4(10 + t) + 8
-42 + 6t = (10 * 4 + t * 4) + 8
-42 + 6t = (40 + 4t) + 8

Reorder the terms:
-42 + 6t = 40 + 8 + 4t

Combine like terms: 40 + 8 = 48
-42 + 6t = 48 + 4t

Solving
-42 + 6t = 48 + 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.
-42 + 6t + -4t = 48 + 4t + -4t

Combine like terms: 6t + -4t = 2t
-42 + 2t = 48 + 4t + -4t

Combine like terms: 4t + -4t = 0
-42 + 2t = 48 + 0
-42 + 2t = 48

Add '42' to each side of the equation.
-42 + 42 + 2t = 48 + 42

Combine like terms: -42 + 42 = 0
0 + 2t = 48 + 42
2t = 48 + 42

Combine like terms: 48 + 42 = 90
2t = 90

Divide each side by '2'.
t = 45

Simplifying
t = 45