3x-4=-5x+1

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


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

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

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

Solving
-4 + 3x = 1 + -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.
-4 + 3x + 5x = 1 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-4 + 8x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 8x = 1 + 0
-4 + 8x = 1

Add '4' to each side of the equation.
-4 + 4 + 8x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 1 + 4
8x = 1 + 4

Combine like terms: 1 + 4 = 5
8x = 5

Divide each side by '8'.
x = 0.625

Simplifying
x = 0.625

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