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

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


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

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

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

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

Combine like terms: 13 + 3 = 16
7 + -2x = 16 + -5x

Solving
7 + -2x = 16 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + -2x + 5x = 16 + -5x + 5x

Combine like terms: -2x + 5x = 3x
7 + 3x = 16 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 3x = 16 + 0
7 + 3x = 16

Add '-7' to each side of the equation.
7 + -7 + 3x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 16 + -7
3x = 16 + -7

Combine like terms: 16 + -7 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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