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

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


Simplifying
3x + -2(7 + -1t) = 6x + 7
3x + (7 * -2 + -1t * -2) = 6x + 7
3x + (-14 + 2t) = 6x + 7

Reorder the terms:
-14 + 2t + 3x = 6x + 7

Reorder the terms:
-14 + 2t + 3x = 7 + 6x

Solving
-14 + 2t + 3x = 7 + 6x

Solving for variable 't'.

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

Add '14' to each side of the equation.
-14 + 2t + 14 + 3x = 7 + 14 + 6x

Reorder the terms:
-14 + 14 + 2t + 3x = 7 + 14 + 6x

Combine like terms: -14 + 14 = 0
0 + 2t + 3x = 7 + 14 + 6x
2t + 3x = 7 + 14 + 6x

Combine like terms: 7 + 14 = 21
2t + 3x = 21 + 6x

Add '-3x' to each side of the equation.
2t + 3x + -3x = 21 + 6x + -3x

Combine like terms: 3x + -3x = 0
2t + 0 = 21 + 6x + -3x
2t = 21 + 6x + -3x

Combine like terms: 6x + -3x = 3x
2t = 21 + 3x

Divide each side by '2'.
t = 10.5 + 1.5x

Simplifying
t = 10.5 + 1.5x

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