4x+1=-(x-6)

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Solution for 4x+1=-(x-6) equation:


Simplifying
4x + 1 = -1(x + -6)

Reorder the terms:
1 + 4x = -1(x + -6)

Reorder the terms:
1 + 4x = -1(-6 + x)
1 + 4x = (-6 * -1 + x * -1)
1 + 4x = (6 + -1x)

Solving
1 + 4x = 6 + -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
1 + 5x = 6 + 0
1 + 5x = 6

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

Combine like terms: 1 + -1 = 0
0 + 5x = 6 + -1
5x = 6 + -1

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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