10x+13=15x+17

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Solution for 10x+13=15x+17 equation:


Simplifying
10x + 13 = 15x + 17

Reorder the terms:
13 + 10x = 15x + 17

Reorder the terms:
13 + 10x = 17 + 15x

Solving
13 + 10x = 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.
13 + 10x + -15x = 17 + 15x + -15x

Combine like terms: 10x + -15x = -5x
13 + -5x = 17 + 15x + -15x

Combine like terms: 15x + -15x = 0
13 + -5x = 17 + 0
13 + -5x = 17

Add '-13' to each side of the equation.
13 + -13 + -5x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 17 + -13
-5x = 17 + -13

Combine like terms: 17 + -13 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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