2(2x-5)-4=10-2x

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Solution for 2(2x-5)-4=10-2x equation:


Simplifying
2(2x + -5) + -4 = 10 + -2x

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

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

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

Solving
-14 + 4x = 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 + 4x + 2x = 10 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-14 + 6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 6x = 10 + 0
-14 + 6x = 10

Add '14' to each side of the equation.
-14 + 14 + 6x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 10 + 14
6x = 10 + 14

Combine like terms: 10 + 14 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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