4-6(x-1)=2(x+5)

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Solution for 4-6(x-1)=2(x+5) equation:


Simplifying
4 + -6(x + -1) = 2(x + 5)

Reorder the terms:
4 + -6(-1 + x) = 2(x + 5)
4 + (-1 * -6 + x * -6) = 2(x + 5)
4 + (6 + -6x) = 2(x + 5)

Combine like terms: 4 + 6 = 10
10 + -6x = 2(x + 5)

Reorder the terms:
10 + -6x = 2(5 + x)
10 + -6x = (5 * 2 + x * 2)
10 + -6x = (10 + 2x)

Add '-10' to each side of the equation.
10 + -10 + -6x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
0 + -6x = 10 + -10 + 2x
-6x = 10 + -10 + 2x

Combine like terms: 10 + -10 = 0
-6x = 0 + 2x
-6x = 2x

Solving
-6x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6x + -2x = 2x + -2x

Combine like terms: -6x + -2x = -8x
-8x = 2x + -2x

Combine like terms: 2x + -2x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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