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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 7x + -3x = 4x
-39 + 4x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-39 + 4x = -15 + 0
-39 + 4x = -15

Add '39' to each side of the equation.
-39 + 39 + 4x = -15 + 39

Combine like terms: -39 + 39 = 0
0 + 4x = -15 + 39
4x = -15 + 39

Combine like terms: -15 + 39 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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