x+3=2(x+5)

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Solution for x+3=2(x+5) equation:


Simplifying
x + 3 = 2(x + 5)

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

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

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

Combine like terms: x + -2x = -1x
3 + -1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = 10 + 0
3 + -1x = 10

Add '-3' to each side of the equation.
3 + -3 + -1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 10 + -3
-1x = 10 + -3

Combine like terms: 10 + -3 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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