2(x+1)=5(x+2)+7

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Solution for 2(x+1)=5(x+2)+7 equation:


Simplifying
2(x + 1) = 5(x + 2) + 7

Reorder the terms:
2(1 + x) = 5(x + 2) + 7
(1 * 2 + x * 2) = 5(x + 2) + 7
(2 + 2x) = 5(x + 2) + 7

Reorder the terms:
2 + 2x = 5(2 + x) + 7
2 + 2x = (2 * 5 + x * 5) + 7
2 + 2x = (10 + 5x) + 7

Reorder the terms:
2 + 2x = 10 + 7 + 5x

Combine like terms: 10 + 7 = 17
2 + 2x = 17 + 5x

Solving
2 + 2x = 17 + 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.
2 + 2x + -5x = 17 + 5x + -5x

Combine like terms: 2x + -5x = -3x
2 + -3x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -3x = 17 + 0
2 + -3x = 17

Add '-2' to each side of the equation.
2 + -2 + -3x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 17 + -2
-3x = 17 + -2

Combine like terms: 17 + -2 = 15
-3x = 15

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

Simplifying
x = -5

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