2-7x+52=13-3x

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Solution for 2-7x+52=13-3x equation:


Simplifying
2 + -7x + 52 = 13 + -3x

Reorder the terms:
2 + 52 + -7x = 13 + -3x

Combine like terms: 2 + 52 = 54
54 + -7x = 13 + -3x

Solving
54 + -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.
54 + -7x + 3x = 13 + -3x + 3x

Combine like terms: -7x + 3x = -4x
54 + -4x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
54 + -4x = 13 + 0
54 + -4x = 13

Add '-54' to each side of the equation.
54 + -54 + -4x = 13 + -54

Combine like terms: 54 + -54 = 0
0 + -4x = 13 + -54
-4x = 13 + -54

Combine like terms: 13 + -54 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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