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

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


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

Reorder the terms:
6 + -2(-4 + x) = 2x + 10
6 + (-4 * -2 + x * -2) = 2x + 10
6 + (8 + -2x) = 2x + 10

Combine like terms: 6 + 8 = 14
14 + -2x = 2x + 10

Reorder the terms:
14 + -2x = 10 + 2x

Solving
14 + -2x = 10 + 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.
14 + -2x + -2x = 10 + 2x + -2x

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

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

Add '-14' to each side of the equation.
14 + -14 + -4x = 10 + -14

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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