12t-(4t-7)=3t-(9t-21)

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Solution for 12t-(4t-7)=3t-(9t-21) equation:


Simplifying
12t + -1(4t + -7) = 3t + -1(9t + -21)

Reorder the terms:
12t + -1(-7 + 4t) = 3t + -1(9t + -21)
12t + (-7 * -1 + 4t * -1) = 3t + -1(9t + -21)
12t + (7 + -4t) = 3t + -1(9t + -21)

Reorder the terms:
7 + 12t + -4t = 3t + -1(9t + -21)

Combine like terms: 12t + -4t = 8t
7 + 8t = 3t + -1(9t + -21)

Reorder the terms:
7 + 8t = 3t + -1(-21 + 9t)
7 + 8t = 3t + (-21 * -1 + 9t * -1)
7 + 8t = 3t + (21 + -9t)

Reorder the terms:
7 + 8t = 21 + 3t + -9t

Combine like terms: 3t + -9t = -6t
7 + 8t = 21 + -6t

Solving
7 + 8t = 21 + -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.
7 + 8t + 6t = 21 + -6t + 6t

Combine like terms: 8t + 6t = 14t
7 + 14t = 21 + -6t + 6t

Combine like terms: -6t + 6t = 0
7 + 14t = 21 + 0
7 + 14t = 21

Add '-7' to each side of the equation.
7 + -7 + 14t = 21 + -7

Combine like terms: 7 + -7 = 0
0 + 14t = 21 + -7
14t = 21 + -7

Combine like terms: 21 + -7 = 14
14t = 14

Divide each side by '14'.
t = 1

Simplifying
t = 1

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