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

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


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

Reorder the terms:
2(-5 + 4x) = 2x + 10
(-5 * 2 + 4x * 2) = 2x + 10
(-10 + 8x) = 2x + 10

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

Solving
-10 + 8x = 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.
-10 + 8x + -2x = 10 + 2x + -2x

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

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

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

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

Combine like terms: 10 + 10 = 20
6x = 20

Divide each side by '6'.
x = 3.333333333

Simplifying
x = 3.333333333

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