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

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


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

Reorder the terms:
2(-5 + x) + 2x = -4(x + -6)
(-5 * 2 + x * 2) + 2x = -4(x + -6)
(-10 + 2x) + 2x = -4(x + -6)

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

Reorder the terms:
-10 + 4x = -4(-6 + x)
-10 + 4x = (-6 * -4 + x * -4)
-10 + 4x = (24 + -4x)

Solving
-10 + 4x = 24 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + 4x + 4x = 24 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-10 + 8x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 8x = 24 + 0
-10 + 8x = 24

Add '10' to each side of the equation.
-10 + 10 + 8x = 24 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 24 + 10
8x = 24 + 10

Combine like terms: 24 + 10 = 34
8x = 34

Divide each side by '8'.
x = 4.25

Simplifying
x = 4.25

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