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

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


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

Reorder the terms:
6(2 + 2x) + -3(t + -4) = 6(t + -7) + 8
(2 * 6 + 2x * 6) + -3(t + -4) = 6(t + -7) + 8
(12 + 12x) + -3(t + -4) = 6(t + -7) + 8

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

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

Combine like terms: 12 + 12 = 24
24 + -3t + 12x = 6(t + -7) + 8

Reorder the terms:
24 + -3t + 12x = 6(-7 + t) + 8
24 + -3t + 12x = (-7 * 6 + t * 6) + 8
24 + -3t + 12x = (-42 + 6t) + 8

Reorder the terms:
24 + -3t + 12x = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
24 + -3t + 12x = -34 + 6t

Solving
24 + -3t + 12x = -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.
24 + -3t + -6t + 12x = -34 + 6t + -6t

Combine like terms: -3t + -6t = -9t
24 + -9t + 12x = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
24 + -9t + 12x = -34 + 0
24 + -9t + 12x = -34

Add '-24' to each side of the equation.
24 + -9t + -24 + 12x = -34 + -24

Reorder the terms:
24 + -24 + -9t + 12x = -34 + -24

Combine like terms: 24 + -24 = 0
0 + -9t + 12x = -34 + -24
-9t + 12x = -34 + -24

Combine like terms: -34 + -24 = -58
-9t + 12x = -58

Add '-12x' to each side of the equation.
-9t + 12x + -12x = -58 + -12x

Combine like terms: 12x + -12x = 0
-9t + 0 = -58 + -12x
-9t = -58 + -12x

Divide each side by '-9'.
t = 6.444444444 + 1.333333333x

Simplifying
t = 6.444444444 + 1.333333333x

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