7x+3=13(2x+2-x+3)

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


Simplifying
7x + 3 = 13(2x + 2 + -1x + 3)

Reorder the terms:
3 + 7x = 13(2x + 2 + -1x + 3)

Reorder the terms:
3 + 7x = 13(2 + 3 + 2x + -1x)

Combine like terms: 2 + 3 = 5
3 + 7x = 13(5 + 2x + -1x)

Combine like terms: 2x + -1x = 1x
3 + 7x = 13(5 + 1x)
3 + 7x = (5 * 13 + 1x * 13)
3 + 7x = (65 + 13x)

Solving
3 + 7x = 65 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
3 + 7x + -13x = 65 + 13x + -13x

Combine like terms: 7x + -13x = -6x
3 + -6x = 65 + 13x + -13x

Combine like terms: 13x + -13x = 0
3 + -6x = 65 + 0
3 + -6x = 65

Add '-3' to each side of the equation.
3 + -3 + -6x = 65 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 65 + -3
-6x = 65 + -3

Combine like terms: 65 + -3 = 62
-6x = 62

Divide each side by '-6'.
x = -10.33333333

Simplifying
x = -10.33333333

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