4x+1=3x-6

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


Simplifying
4x + 1 = 3x + -6

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

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

Solving
1 + 4x = -6 + 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.
1 + 4x + -3x = -6 + 3x + -3x

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

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

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

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

Combine like terms: -6 + -1 = -7
1x = -7

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

Simplifying
x = -7

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