3(t-6)+2=4(t+2)-1

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Solution for 3(t-6)+2=4(t+2)-1 equation: 


Simplifying
3(t + -6) + 2 = 4(t + 2) + -1

Reorder the terms:
3(-6 + t) + 2 = 4(t + 2) + -1
(-6 * 3 + t * 3) + 2 = 4(t + 2) + -1
(-18 + 3t) + 2 = 4(t + 2) + -1

Reorder the terms:
-18 + 2 + 3t = 4(t + 2) + -1

Combine like terms: -18 + 2 = -16
-16 + 3t = 4(t + 2) + -1

Reorder the terms:
-16 + 3t = 4(2 + t) + -1
-16 + 3t = (2 * 4 + t * 4) + -1
-16 + 3t = (8 + 4t) + -1

Reorder the terms:
-16 + 3t = 8 + -1 + 4t

Combine like terms: 8 + -1 = 7
-16 + 3t = 7 + 4t

Solving
-16 + 3t = 7 + 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.
-16 + 3t + -4t = 7 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-16 + -1t = 7 + 4t + -4t

Combine like terms: 4t + -4t = 0
-16 + -1t = 7 + 0
-16 + -1t = 7

Add '16' to each side of the equation.
-16 + 16 + -1t = 7 + 16

Combine like terms: -16 + 16 = 0
0 + -1t = 7 + 16
-1t = 7 + 16

Combine like terms: 7 + 16 = 23
-1t = 23

Divide each side by '-1'.
t = -23

Simplifying
t = -23

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