4x-4-6x+10=-3x+1

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Solution for 4x-4-6x+10=-3x+1 equation:


Simplifying
4x + -4 + -6x + 10 = -3x + 1

Reorder the terms:
-4 + 10 + 4x + -6x = -3x + 1

Combine like terms: -4 + 10 = 6
6 + 4x + -6x = -3x + 1

Combine like terms: 4x + -6x = -2x
6 + -2x = -3x + 1

Reorder the terms:
6 + -2x = 1 + -3x

Solving
6 + -2x = 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.
6 + -2x + 3x = 1 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x = 1 + 0
6 + 1x = 1

Add '-6' to each side of the equation.
6 + -6 + 1x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 1 + -6
1x = 1 + -6

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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