x+4=6(x-1)

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


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

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

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

Solving
4 + x = -6 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
4 + -5x = -6 + 0
4 + -5x = -6

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

Combine like terms: 4 + -4 = 0
0 + -5x = -6 + -4
-5x = -6 + -4

Combine like terms: -6 + -4 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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