10-4x+1=3x-1

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Solution for 10-4x+1=3x-1 equation:


Simplifying
10 + -4x + 1 = 3x + -1

Reorder the terms:
10 + 1 + -4x = 3x + -1

Combine like terms: 10 + 1 = 11
11 + -4x = 3x + -1

Reorder the terms:
11 + -4x = -1 + 3x

Solving
11 + -4x = -1 + 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.
11 + -4x + -3x = -1 + 3x + -3x

Combine like terms: -4x + -3x = -7x
11 + -7x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -7x = -1 + 0
11 + -7x = -1

Add '-11' to each side of the equation.
11 + -11 + -7x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -1 + -11
-7x = -1 + -11

Combine like terms: -1 + -11 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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