2x+2(x-6)=6x-4(x-10)

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Solution for 2x+2(x-6)=6x-4(x-10) equation:


Simplifying
2x + 2(x + -6) = 6x + -4(x + -10)

Reorder the terms:
2x + 2(-6 + x) = 6x + -4(x + -10)
2x + (-6 * 2 + x * 2) = 6x + -4(x + -10)
2x + (-12 + 2x) = 6x + -4(x + -10)

Reorder the terms:
-12 + 2x + 2x = 6x + -4(x + -10)

Combine like terms: 2x + 2x = 4x
-12 + 4x = 6x + -4(x + -10)

Reorder the terms:
-12 + 4x = 6x + -4(-10 + x)
-12 + 4x = 6x + (-10 * -4 + x * -4)
-12 + 4x = 6x + (40 + -4x)

Reorder the terms:
-12 + 4x = 40 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-12 + 4x = 40 + 2x

Solving
-12 + 4x = 40 + 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.
-12 + 4x + -2x = 40 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = 40 + 0
-12 + 2x = 40

Add '12' to each side of the equation.
-12 + 12 + 2x = 40 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 40 + 12
2x = 40 + 12

Combine like terms: 40 + 12 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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