2(x+1)+2(x-2)=x+3

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Solution for 2(x+1)+2(x-2)=x+3 equation:


Simplifying
2(x + 1) + 2(x + -2) = x + 3

Reorder the terms:
2(1 + x) + 2(x + -2) = x + 3
(1 * 2 + x * 2) + 2(x + -2) = x + 3
(2 + 2x) + 2(x + -2) = x + 3

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

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

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

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

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

Solving
-2 + 4x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 4x + -1x = 3 + x + -1x

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

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 3 + 2

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

Combine like terms: 3 + 2 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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