5x-2+8x=5x+3-7x

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Solution for 5x-2+8x=5x+3-7x equation:


Simplifying
5x + -2 + 8x = 5x + 3 + -7x

Reorder the terms:
-2 + 5x + 8x = 5x + 3 + -7x

Combine like terms: 5x + 8x = 13x
-2 + 13x = 5x + 3 + -7x

Reorder the terms:
-2 + 13x = 3 + 5x + -7x

Combine like terms: 5x + -7x = -2x
-2 + 13x = 3 + -2x

Solving
-2 + 13x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 13x + 2x = 3 + -2x + 2x

Combine like terms: 13x + 2x = 15x
-2 + 15x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 15x = 3 + 0
-2 + 15x = 3

Add '2' to each side of the equation.
-2 + 2 + 15x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 3 + 2
15x = 3 + 2

Combine like terms: 3 + 2 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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