7(t-5)=3(t-4)

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Solution for 7(t-5)=3(t-4) equation:


Simplifying
7(t + -5) = 3(t + -4)

Reorder the terms:
7(-5 + t) = 3(t + -4)
(-5 * 7 + t * 7) = 3(t + -4)
(-35 + 7t) = 3(t + -4)

Reorder the terms:
-35 + 7t = 3(-4 + t)
-35 + 7t = (-4 * 3 + t * 3)
-35 + 7t = (-12 + 3t)

Solving
-35 + 7t = -12 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-35 + 7t + -3t = -12 + 3t + -3t

Combine like terms: 7t + -3t = 4t
-35 + 4t = -12 + 3t + -3t

Combine like terms: 3t + -3t = 0
-35 + 4t = -12 + 0
-35 + 4t = -12

Add '35' to each side of the equation.
-35 + 35 + 4t = -12 + 35

Combine like terms: -35 + 35 = 0
0 + 4t = -12 + 35
4t = -12 + 35

Combine like terms: -12 + 35 = 23
4t = 23

Divide each side by '4'.
t = 5.75

Simplifying
t = 5.75

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