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

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


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

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

Reorder the terms:
-10 + 2x + 4(-2 + x) = 0
-10 + 2x + (-2 * 4 + x * 4) = 0
-10 + 2x + (-8 + 4x) = 0

Reorder the terms:
-10 + -8 + 2x + 4x = 0

Combine like terms: -10 + -8 = -18
-18 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x
-18 + 6x = 0

Solving
-18 + 6x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 6x = 0 + 18

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

Combine like terms: 0 + 18 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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