4x+1=5x-6

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Solution for 4x+1=5x-6 equation:


Simplifying
4x + 1 = 5x + -6

Reorder the terms:
1 + 4x = 5x + -6

Reorder the terms:
1 + 4x = -6 + 5x

Solving
1 + 4x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 4x + -5x = -6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
1 + -1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 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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