5x+2+8x+4=15x-17

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Solution for 5x+2+8x+4=15x-17 equation:


Simplifying
5x + 2 + 8x + 4 = 15x + -17

Reorder the terms:
2 + 4 + 5x + 8x = 15x + -17

Combine like terms: 2 + 4 = 6
6 + 5x + 8x = 15x + -17

Combine like terms: 5x + 8x = 13x
6 + 13x = 15x + -17

Reorder the terms:
6 + 13x = -17 + 15x

Solving
6 + 13x = -17 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 13x + -15x = -17 + 15x + -15x

Combine like terms: 13x + -15x = -2x
6 + -2x = -17 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -2x = -17 + 0
6 + -2x = -17

Add '-6' to each side of the equation.
6 + -6 + -2x = -17 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -17 + -6
-2x = -17 + -6

Combine like terms: -17 + -6 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5

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