x+2(x-2)=2x+3

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


Simplifying
x + 2(x + -2) = 2x + 3

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

Reorder the terms:
-4 + x + 2x = 2x + 3

Combine like terms: x + 2x = 3x
-4 + 3x = 2x + 3

Reorder the terms:
-4 + 3x = 3 + 2x

Solving
-4 + 3x = 3 + 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.
-4 + 3x + -2x = 3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-4 + 1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 1x = 3 + 0
-4 + 1x = 3

Add '4' to each side of the equation.
-4 + 4 + 1x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 3 + 4
1x = 3 + 4

Combine like terms: 3 + 4 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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