2(x-5)-3(2t-7)=12-5(3t+1)

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Solution for 2(x-5)-3(2t-7)=12-5(3t+1) equation: 


Simplifying
2(x + -5) + -3(2t + -7) = 12 + -5(3t + 1)

Reorder the terms:
2(-5 + x) + -3(2t + -7) = 12 + -5(3t + 1)
(-5 * 2 + x * 2) + -3(2t + -7) = 12 + -5(3t + 1)
(-10 + 2x) + -3(2t + -7) = 12 + -5(3t + 1)

Reorder the terms:
-10 + 2x + -3(-7 + 2t) = 12 + -5(3t + 1)
-10 + 2x + (-7 * -3 + 2t * -3) = 12 + -5(3t + 1)
-10 + 2x + (21 + -6t) = 12 + -5(3t + 1)

Reorder the terms:
-10 + 21 + -6t + 2x = 12 + -5(3t + 1)

Combine like terms: -10 + 21 = 11
11 + -6t + 2x = 12 + -5(3t + 1)

Reorder the terms:
11 + -6t + 2x = 12 + -5(1 + 3t)
11 + -6t + 2x = 12 + (1 * -5 + 3t * -5)
11 + -6t + 2x = 12 + (-5 + -15t)

Combine like terms: 12 + -5 = 7
11 + -6t + 2x = 7 + -15t

Solving
11 + -6t + 2x = 7 + -15t

Solving for variable 't'.

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

Add '15t' to each side of the equation.
11 + -6t + 15t + 2x = 7 + -15t + 15t

Combine like terms: -6t + 15t = 9t
11 + 9t + 2x = 7 + -15t + 15t

Combine like terms: -15t + 15t = 0
11 + 9t + 2x = 7 + 0
11 + 9t + 2x = 7

Add '-11' to each side of the equation.
11 + 9t + -11 + 2x = 7 + -11

Reorder the terms:
11 + -11 + 9t + 2x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 9t + 2x = 7 + -11
9t + 2x = 7 + -11

Combine like terms: 7 + -11 = -4
9t + 2x = -4

Add '-2x' to each side of the equation.
9t + 2x + -2x = -4 + -2x

Combine like terms: 2x + -2x = 0
9t + 0 = -4 + -2x
9t = -4 + -2x

Divide each side by '9'.
t = -0.4444444444 + -0.2222222222x

Simplifying
t = -0.4444444444 + -0.2222222222x

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