6(x-3)-2(x+1)=0

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Solution for 6(x-3)-2(x+1)=0 equation:


Simplifying
6(x + -3) + -2(x + 1) = 0

Reorder the terms:
6(-3 + x) + -2(x + 1) = 0
(-3 * 6 + x * 6) + -2(x + 1) = 0
(-18 + 6x) + -2(x + 1) = 0

Reorder the terms:
-18 + 6x + -2(1 + x) = 0
-18 + 6x + (1 * -2 + x * -2) = 0
-18 + 6x + (-2 + -2x) = 0

Reorder the terms:
-18 + -2 + 6x + -2x = 0

Combine like terms: -18 + -2 = -20
-20 + 6x + -2x = 0

Combine like terms: 6x + -2x = 4x
-20 + 4x = 0

Solving
-20 + 4x = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 4x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 0 + 20
4x = 0 + 20

Combine like terms: 0 + 20 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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