7x-8=3x+13

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


Simplifying
7x + -8 = 3x + 13

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

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

Solving
-8 + 7x = 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.
-8 + 7x + -3x = 13 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-8 + 4x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 4x = 13 + 0
-8 + 4x = 13

Add '8' to each side of the equation.
-8 + 8 + 4x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 13 + 8
4x = 13 + 8

Combine like terms: 13 + 8 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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