8(t+2x)-3(t-4)=6(t-7)+8

Solution for 8(t+2x)-3(t-4)=6(t-7)+8 equation:

Simplifying
8(t + 2x) + -3(t + -4) = 6(t + -7) + 8
(t * 8 + 2x * 8) + -3(t + -4) = 6(t + -7) + 8
(8t + 16x) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
8t + 16x + -3(-4 + t) = 6(t + -7) + 8
8t + 16x + (-4 * -3 + t * -3) = 6(t + -7) + 8
8t + 16x + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
12 + 8t + -3t + 16x = 6(t + -7) + 8

Combine like terms: 8t + -3t = 5t
12 + 5t + 16x = 6(t + -7) + 8

Reorder the terms:
12 + 5t + 16x = 6(-7 + t) + 8
12 + 5t + 16x = (-7 * 6 + t * 6) + 8
12 + 5t + 16x = (-42 + 6t) + 8

Reorder the terms:
12 + 5t + 16x = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
12 + 5t + 16x = -34 + 6t

Solving
12 + 5t + 16x = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
12 + 5t + -6t + 16x = -34 + 6t + -6t

Combine like terms: 5t + -6t = -1t
12 + -1t + 16x = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
12 + -1t + 16x = -34 + 0
12 + -1t + 16x = -34

Add '-12' to each side of the equation.
12 + -1t + -12 + 16x = -34 + -12

Reorder the terms:
12 + -12 + -1t + 16x = -34 + -12

Combine like terms: 12 + -12 = 0
0 + -1t + 16x = -34 + -12
-1t + 16x = -34 + -12

Combine like terms: -34 + -12 = -46
-1t + 16x = -46

Add '-16x' to each side of the equation.
-1t + 16x + -16x = -46 + -16x

Combine like terms: 16x + -16x = 0
-1t + 0 = -46 + -16x
-1t = -46 + -16x

Divide each side by '-1'.
t = 46 + 16x

Simplifying
t = 46 + 16x