5(x+8)-2=8(x+5)-17

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Solution for 5(x+8)-2=8(x+5)-17 equation:


Simplifying
5(x + 8) + -2 = 8(x + 5) + -17

Reorder the terms:
5(8 + x) + -2 = 8(x + 5) + -17
(8 * 5 + x * 5) + -2 = 8(x + 5) + -17
(40 + 5x) + -2 = 8(x + 5) + -17

Reorder the terms:
40 + -2 + 5x = 8(x + 5) + -17

Combine like terms: 40 + -2 = 38
38 + 5x = 8(x + 5) + -17

Reorder the terms:
38 + 5x = 8(5 + x) + -17
38 + 5x = (5 * 8 + x * 8) + -17
38 + 5x = (40 + 8x) + -17

Reorder the terms:
38 + 5x = 40 + -17 + 8x

Combine like terms: 40 + -17 = 23
38 + 5x = 23 + 8x

Solving
38 + 5x = 23 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
38 + 5x + -8x = 23 + 8x + -8x

Combine like terms: 5x + -8x = -3x
38 + -3x = 23 + 8x + -8x

Combine like terms: 8x + -8x = 0
38 + -3x = 23 + 0
38 + -3x = 23

Add '-38' to each side of the equation.
38 + -38 + -3x = 23 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = 23 + -38
-3x = 23 + -38

Combine like terms: 23 + -38 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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