x+2=2(5x+2)

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Solution for x+2=2(5x+2) equation:


Simplifying
x + 2 = 2(5x + 2)

Reorder the terms:
2 + x = 2(5x + 2)

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

Solving
2 + x = 4 + 10x

Solving for variable 'x'.

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

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

Combine like terms: x + -10x = -9x
2 + -9x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -9x = 4 + 0
2 + -9x = 4

Add '-2' to each side of the equation.
2 + -2 + -9x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 4 + -2
-9x = 4 + -2

Combine like terms: 4 + -2 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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