2(x+3)+4=2(2x+5)+2x

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Solution for 2(x+3)+4=2(2x+5)+2x equation:


Simplifying
2(x + 3) + 4 = 2(2x + 5) + 2x

Reorder the terms:
2(3 + x) + 4 = 2(2x + 5) + 2x
(3 * 2 + x * 2) + 4 = 2(2x + 5) + 2x
(6 + 2x) + 4 = 2(2x + 5) + 2x

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

Combine like terms: 6 + 4 = 10
10 + 2x = 2(2x + 5) + 2x

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

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

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

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

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

Solving
2x = 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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