7(t-5)=4(2t+10)

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Solution for 7(t-5)=4(2t+10) equation:


Simplifying
7(t + -5) = 4(2t + 10)

Reorder the terms:
7(-5 + t) = 4(2t + 10)
(-5 * 7 + t * 7) = 4(2t + 10)
(-35 + 7t) = 4(2t + 10)

Reorder the terms:
-35 + 7t = 4(10 + 2t)
-35 + 7t = (10 * 4 + 2t * 4)
-35 + 7t = (40 + 8t)

Solving
-35 + 7t = 40 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-35 + 7t + -8t = 40 + 8t + -8t

Combine like terms: 7t + -8t = -1t
-35 + -1t = 40 + 8t + -8t

Combine like terms: 8t + -8t = 0
-35 + -1t = 40 + 0
-35 + -1t = 40

Add '35' to each side of the equation.
-35 + 35 + -1t = 40 + 35

Combine like terms: -35 + 35 = 0
0 + -1t = 40 + 35
-1t = 40 + 35

Combine like terms: 40 + 35 = 75
-1t = 75

Divide each side by '-1'.
t = -75

Simplifying
t = -75

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