2(5t-2)=-4[2t+5(t-10)]

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Solution for 2(5t-2)=-4[2t+5(t-10)] equation:


Simplifying
2(5t + -2) = -4[2t + 5(t + -10)]

Reorder the terms:
2(-2 + 5t) = -4[2t + 5(t + -10)]
(-2 * 2 + 5t * 2) = -4[2t + 5(t + -10)]
(-4 + 10t) = -4[2t + 5(t + -10)]

Reorder the terms:
-4 + 10t = -4[2t + 5(-10 + t)]
-4 + 10t = -4[2t + (-10 * 5 + t * 5)]
-4 + 10t = -4[2t + (-50 + 5t)]

Reorder the terms:
-4 + 10t = -4[-50 + 2t + 5t]

Combine like terms: 2t + 5t = 7t
-4 + 10t = -4[-50 + 7t]
-4 + 10t = [-50 * -4 + 7t * -4]
-4 + 10t = [200 + -28t]

Solving
-4 + 10t = 200 + -28t

Solving for variable 't'.

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

Add '28t' to each side of the equation.
-4 + 10t + 28t = 200 + -28t + 28t

Combine like terms: 10t + 28t = 38t
-4 + 38t = 200 + -28t + 28t

Combine like terms: -28t + 28t = 0
-4 + 38t = 200 + 0
-4 + 38t = 200

Add '4' to each side of the equation.
-4 + 4 + 38t = 200 + 4

Combine like terms: -4 + 4 = 0
0 + 38t = 200 + 4
38t = 200 + 4

Combine like terms: 200 + 4 = 204
38t = 204

Divide each side by '38'.
t = 5.368421053

Simplifying
t = 5.368421053

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