3x-1=-4x+7

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Solution for 3x-1=-4x+7 equation:


Simplifying
3x + -1 = -4x + 7

Reorder the terms:
-1 + 3x = -4x + 7

Reorder the terms:
-1 + 3x = 7 + -4x

Solving
-1 + 3x = 7 + -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.
-1 + 3x + 4x = 7 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-1 + 7x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 7x = 7 + 0
-1 + 7x = 7

Add '1' to each side of the equation.
-1 + 1 + 7x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 7 + 1
7x = 7 + 1

Combine like terms: 7 + 1 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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