25-10(6t-8)=16(-4t+22)

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Solution for 25-10(6t-8)=16(-4t+22) equation: 


Simplifying
25 + -10(6t + -8) = 16(-4t + 22)

Reorder the terms:
25 + -10(-8 + 6t) = 16(-4t + 22)
25 + (-8 * -10 + 6t * -10) = 16(-4t + 22)
25 + (80 + -60t) = 16(-4t + 22)

Combine like terms: 25 + 80 = 105
105 + -60t = 16(-4t + 22)

Reorder the terms:
105 + -60t = 16(22 + -4t)
105 + -60t = (22 * 16 + -4t * 16)
105 + -60t = (352 + -64t)

Solving
105 + -60t = 352 + -64t

Solving for variable 't'.

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

Add '64t' to each side of the equation.
105 + -60t + 64t = 352 + -64t + 64t

Combine like terms: -60t + 64t = 4t
105 + 4t = 352 + -64t + 64t

Combine like terms: -64t + 64t = 0
105 + 4t = 352 + 0
105 + 4t = 352

Add '-105' to each side of the equation.
105 + -105 + 4t = 352 + -105

Combine like terms: 105 + -105 = 0
0 + 4t = 352 + -105
4t = 352 + -105

Combine like terms: 352 + -105 = 247
4t = 247

Divide each side by '4'.
t = 61.75

Simplifying
t = 61.75

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