x+2=5x-4+3x-1

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Solution for x+2=5x-4+3x-1 equation:


Simplifying
x + 2 = 5x + -4 + 3x + -1

Reorder the terms:
2 + x = 5x + -4 + 3x + -1

Reorder the terms:
2 + x = -4 + -1 + 5x + 3x

Combine like terms: -4 + -1 = -5
2 + x = -5 + 5x + 3x

Combine like terms: 5x + 3x = 8x
2 + x = -5 + 8x

Solving
2 + x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + x + -8x = -5 + 8x + -8x

Combine like terms: x + -8x = -7x
2 + -7x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -7x = -5 + 0
2 + -7x = -5

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

Combine like terms: 2 + -2 = 0
0 + -7x = -5 + -2
-7x = -5 + -2

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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