2(x+1)+7=3(x-2)+2x

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Solution for 2(x+1)+7=3(x-2)+2x equation:


Simplifying
2(x + 1) + 7 = 3(x + -2) + 2x

Reorder the terms:
2(1 + x) + 7 = 3(x + -2) + 2x
(1 * 2 + x * 2) + 7 = 3(x + -2) + 2x
(2 + 2x) + 7 = 3(x + -2) + 2x

Reorder the terms:
2 + 7 + 2x = 3(x + -2) + 2x

Combine like terms: 2 + 7 = 9
9 + 2x = 3(x + -2) + 2x

Reorder the terms:
9 + 2x = 3(-2 + x) + 2x
9 + 2x = (-2 * 3 + x * 3) + 2x
9 + 2x = (-6 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
9 + 2x = -6 + 5x

Solving
9 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = -6 + 0
9 + -3x = -6

Add '-9' to each side of the equation.
9 + -9 + -3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -6 + -9
-3x = -6 + -9

Combine like terms: -6 + -9 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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