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

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


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

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

Reorder the terms:
-14 + 7x = 3(-7 + t) + 6t
-14 + 7x = (-7 * 3 + t * 3) + 6t
-14 + 7x = (-21 + 3t) + 6t

Combine like terms: 3t + 6t = 9t
-14 + 7x = -21 + 9t

Solving
-14 + 7x = -21 + 9t

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 7x = -21 + 14 + 9t

Combine like terms: -14 + 14 = 0
0 + 7x = -21 + 14 + 9t
7x = -21 + 14 + 9t

Combine like terms: -21 + 14 = -7
7x = -7 + 9t

Divide each side by '7'.
x = -1 + 1.285714286t

Simplifying
x = -1 + 1.285714286t

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