-4x+1=-7x-8

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Solution for -4x+1=-7x-8 equation:


Simplifying
-4x + 1 = -7x + -8

Reorder the terms:
1 + -4x = -7x + -8

Reorder the terms:
1 + -4x = -8 + -7x

Solving
1 + -4x = -8 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
1 + -4x + 7x = -8 + -7x + 7x

Combine like terms: -4x + 7x = 3x
1 + 3x = -8 + -7x + 7x

Combine like terms: -7x + 7x = 0
1 + 3x = -8 + 0
1 + 3x = -8

Add '-1' to each side of the equation.
1 + -1 + 3x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -8 + -1
3x = -8 + -1

Combine like terms: -8 + -1 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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