5x+3+x=1+3x-7

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Solution for 5x+3+x=1+3x-7 equation:


Simplifying
5x + 3 + x = 1 + 3x + -7

Reorder the terms:
3 + 5x + x = 1 + 3x + -7

Combine like terms: 5x + x = 6x
3 + 6x = 1 + 3x + -7

Reorder the terms:
3 + 6x = 1 + -7 + 3x

Combine like terms: 1 + -7 = -6
3 + 6x = -6 + 3x

Solving
3 + 6x = -6 + 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.
3 + 6x + -3x = -6 + 3x + -3x

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

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

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

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

Combine like terms: -6 + -3 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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