4(x-1)+2(x+3)=2(x-5)

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Solution for 4(x-1)+2(x+3)=2(x-5) equation:


Simplifying
4(x + -1) + 2(x + 3) = 2(x + -5)

Reorder the terms:
4(-1 + x) + 2(x + 3) = 2(x + -5)
(-1 * 4 + x * 4) + 2(x + 3) = 2(x + -5)
(-4 + 4x) + 2(x + 3) = 2(x + -5)

Reorder the terms:
-4 + 4x + 2(3 + x) = 2(x + -5)
-4 + 4x + (3 * 2 + x * 2) = 2(x + -5)
-4 + 4x + (6 + 2x) = 2(x + -5)

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

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

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

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

Solving
2 + 6x = -10 + 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.
2 + 6x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + 4x = -10 + 0
2 + 4x = -10

Add '-2' to each side of the equation.
2 + -2 + 4x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -10 + -2
4x = -10 + -2

Combine like terms: -10 + -2 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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