8x+13=15x-2

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Solution for 8x+13=15x-2 equation:


Simplifying
8x + 13 = 15x + -2

Reorder the terms:
13 + 8x = 15x + -2

Reorder the terms:
13 + 8x = -2 + 15x

Solving
13 + 8x = -2 + 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 + 8x + -15x = -2 + 15x + -15x

Combine like terms: 8x + -15x = -7x
13 + -7x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
13 + -7x = -2 + 0
13 + -7x = -2

Add '-13' to each side of the equation.
13 + -13 + -7x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -2 + -13
-7x = -2 + -13

Combine like terms: -2 + -13 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143

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