4x+6=2(x+5)

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Solution for 4x+6=2(x+5) equation:


Simplifying
4x + 6 = 2(x + 5)

Reorder the terms:
6 + 4x = 2(x + 5)

Reorder the terms:
6 + 4x = 2(5 + x)
6 + 4x = (5 * 2 + x * 2)
6 + 4x = (10 + 2x)

Solving
6 + 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.
6 + 4x + -2x = 10 + 2x + -2x

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

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 10 + -6

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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