8(t-5)+t=4(3+4)-13

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Solution for 8(t-5)+t=4(3+4)-13 equation: 


Simplifying
8(t + -5) + t = 4(3 + 4) + -13

Reorder the terms:
8(-5 + t) + t = 4(3 + 4) + -13
(-5 * 8 + t * 8) + t = 4(3 + 4) + -13
(-40 + 8t) + t = 4(3 + 4) + -13

Combine like terms: 8t + t = 9t
-40 + 9t = 4(3 + 4) + -13

Combine like terms: 3 + 4 = 7
-40 + 9t = 4(7) + -13

Multiply 4 * 7
-40 + 9t = 28 + -13

Combine like terms: 28 + -13 = 15
-40 + 9t = 15

Solving
-40 + 9t = 15

Solving for variable 't'.

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

Add '40' to each side of the equation.
-40 + 40 + 9t = 15 + 40

Combine like terms: -40 + 40 = 0
0 + 9t = 15 + 40
9t = 15 + 40

Combine like terms: 15 + 40 = 55
9t = 55

Divide each side by '9'.
t = 6.111111111

Simplifying
t = 6.111111111

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