5(t-3)+7=6(2t-15)-12

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Solution for 5(t-3)+7=6(2t-15)-12 equation:


Simplifying
5(t + -3) + 7 = 6(2t + -15) + -12

Reorder the terms:
5(-3 + t) + 7 = 6(2t + -15) + -12
(-3 * 5 + t * 5) + 7 = 6(2t + -15) + -12
(-15 + 5t) + 7 = 6(2t + -15) + -12

Reorder the terms:
-15 + 7 + 5t = 6(2t + -15) + -12

Combine like terms: -15 + 7 = -8
-8 + 5t = 6(2t + -15) + -12

Reorder the terms:
-8 + 5t = 6(-15 + 2t) + -12
-8 + 5t = (-15 * 6 + 2t * 6) + -12
-8 + 5t = (-90 + 12t) + -12

Reorder the terms:
-8 + 5t = -90 + -12 + 12t

Combine like terms: -90 + -12 = -102
-8 + 5t = -102 + 12t

Solving
-8 + 5t = -102 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-8 + 5t + -12t = -102 + 12t + -12t

Combine like terms: 5t + -12t = -7t
-8 + -7t = -102 + 12t + -12t

Combine like terms: 12t + -12t = 0
-8 + -7t = -102 + 0
-8 + -7t = -102

Add '8' to each side of the equation.
-8 + 8 + -7t = -102 + 8

Combine like terms: -8 + 8 = 0
0 + -7t = -102 + 8
-7t = -102 + 8

Combine like terms: -102 + 8 = -94
-7t = -94

Divide each side by '-7'.
t = 13.42857143

Simplifying
t = 13.42857143

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