17-8(x+1)=13-4(x+5)

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Solution for 17-8(x+1)=13-4(x+5) equation: 


Simplifying
17 + -8(x + 1) = 13 + -4(x + 5)

Reorder the terms:
17 + -8(1 + x) = 13 + -4(x + 5)
17 + (1 * -8 + x * -8) = 13 + -4(x + 5)
17 + (-8 + -8x) = 13 + -4(x + 5)

Combine like terms: 17 + -8 = 9
9 + -8x = 13 + -4(x + 5)

Reorder the terms:
9 + -8x = 13 + -4(5 + x)
9 + -8x = 13 + (5 * -4 + x * -4)
9 + -8x = 13 + (-20 + -4x)

Combine like terms: 13 + -20 = -7
9 + -8x = -7 + -4x

Solving
9 + -8x = -7 + -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.
9 + -8x + 4x = -7 + -4x + 4x

Combine like terms: -8x + 4x = -4x
9 + -4x = -7 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + -4x = -7 + 0
9 + -4x = -7

Add '-9' to each side of the equation.
9 + -9 + -4x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -7 + -9
-4x = -7 + -9

Combine like terms: -7 + -9 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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