7(x-8)+17=4(x-6)

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Solution for 7(x-8)+17=4(x-6) equation:


Simplifying
7(x + -8) + 17 = 4(x + -6)

Reorder the terms:
7(-8 + x) + 17 = 4(x + -6)
(-8 * 7 + x * 7) + 17 = 4(x + -6)
(-56 + 7x) + 17 = 4(x + -6)

Reorder the terms:
-56 + 17 + 7x = 4(x + -6)

Combine like terms: -56 + 17 = -39
-39 + 7x = 4(x + -6)

Reorder the terms:
-39 + 7x = 4(-6 + x)
-39 + 7x = (-6 * 4 + x * 4)
-39 + 7x = (-24 + 4x)

Solving
-39 + 7x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-39 + 7x + -4x = -24 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-39 + 3x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + 3x = -24 + 0
-39 + 3x = -24

Add '39' to each side of the equation.
-39 + 39 + 3x = -24 + 39

Combine like terms: -39 + 39 = 0
0 + 3x = -24 + 39
3x = -24 + 39

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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