2(x-5)+4(x-1)=0

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Solution for 2(x-5)+4(x-1)=0 equation:


Simplifying
2(x + -5) + 4(x + -1) = 0

Reorder the terms:
2(-5 + x) + 4(x + -1) = 0
(-5 * 2 + x * 2) + 4(x + -1) = 0
(-10 + 2x) + 4(x + -1) = 0

Reorder the terms:
-10 + 2x + 4(-1 + x) = 0
-10 + 2x + (-1 * 4 + x * 4) = 0
-10 + 2x + (-4 + 4x) = 0

Reorder the terms:
-10 + -4 + 2x + 4x = 0

Combine like terms: -10 + -4 = -14
-14 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x
-14 + 6x = 0

Solving
-14 + 6x = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 6x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 0 + 14
6x = 0 + 14

Combine like terms: 0 + 14 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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