5x+2+x=1+4x-7

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Solution for 5x+2+x=1+4x-7 equation:


Simplifying
5x + 2 + x = 1 + 4x + -7

Reorder the terms:
2 + 5x + x = 1 + 4x + -7

Combine like terms: 5x + x = 6x
2 + 6x = 1 + 4x + -7

Reorder the terms:
2 + 6x = 1 + -7 + 4x

Combine like terms: 1 + -7 = -6
2 + 6x = -6 + 4x

Solving
2 + 6x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 6x + -4x = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
2 + 2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 2x = -6 + 0
2 + 2x = -6

Add '-2' to each side of the equation.
2 + -2 + 2x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -6 + -2
2x = -6 + -2

Combine like terms: -6 + -2 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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