7(x-8)+17=3(a-5)

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Solution for 7(x-8)+17=3(a-5) equation:


Simplifying
7(x + -8) + 17 = 3(a + -5)

Reorder the terms:
7(-8 + x) + 17 = 3(a + -5)
(-8 * 7 + x * 7) + 17 = 3(a + -5)
(-56 + 7x) + 17 = 3(a + -5)

Reorder the terms:
-56 + 17 + 7x = 3(a + -5)

Combine like terms: -56 + 17 = -39
-39 + 7x = 3(a + -5)

Reorder the terms:
-39 + 7x = 3(-5 + a)
-39 + 7x = (-5 * 3 + a * 3)
-39 + 7x = (-15 + 3a)

Solving
-39 + 7x = -15 + 3a

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 7x = -15 + 39 + 3a

Combine like terms: -39 + 39 = 0
0 + 7x = -15 + 39 + 3a
7x = -15 + 39 + 3a

Combine like terms: -15 + 39 = 24
7x = 24 + 3a

Divide each side by '7'.
x = 3.428571429 + 0.4285714286a

Simplifying
x = 3.428571429 + 0.4285714286a

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