5x+8x-7=3x+13

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Solution for 5x+8x-7=3x+13 equation:


Simplifying
5x + 8x + -7 = 3x + 13

Reorder the terms:
-7 + 5x + 8x = 3x + 13

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

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

Solving
-7 + 13x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 13x + -3x = 13 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-7 + 10x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 10x = 13 + 0
-7 + 10x = 13

Add '7' to each side of the equation.
-7 + 7 + 10x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 13 + 7
10x = 13 + 7

Combine like terms: 13 + 7 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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