7(2x-4)=3(7t-2)-8

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Solution for 7(2x-4)=3(7t-2)-8 equation:


Simplifying
7(2x + -4) = 3(7t + -2) + -8

Reorder the terms:
7(-4 + 2x) = 3(7t + -2) + -8
(-4 * 7 + 2x * 7) = 3(7t + -2) + -8
(-28 + 14x) = 3(7t + -2) + -8

Reorder the terms:
-28 + 14x = 3(-2 + 7t) + -8
-28 + 14x = (-2 * 3 + 7t * 3) + -8
-28 + 14x = (-6 + 21t) + -8

Reorder the terms:
-28 + 14x = -6 + -8 + 21t

Combine like terms: -6 + -8 = -14
-28 + 14x = -14 + 21t

Solving
-28 + 14x = -14 + 21t

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 14x = -14 + 28 + 21t

Combine like terms: -28 + 28 = 0
0 + 14x = -14 + 28 + 21t
14x = -14 + 28 + 21t

Combine like terms: -14 + 28 = 14
14x = 14 + 21t

Divide each side by '14'.
x = 1 + 1.5t

Simplifying
x = 1 + 1.5t

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