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

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


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

Reorder the terms:
2(5 + x) = -7 + -1(x + -2)
(5 * 2 + x * 2) = -7 + -1(x + -2)
(10 + 2x) = -7 + -1(x + -2)

Reorder the terms:
10 + 2x = -7 + -1(-2 + x)
10 + 2x = -7 + (-2 * -1 + x * -1)
10 + 2x = -7 + (2 + -1x)

Combine like terms: -7 + 2 = -5
10 + 2x = -5 + -1x

Solving
10 + 2x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 2x + x = -5 + -1x + x

Combine like terms: 2x + x = 3x
10 + 3x = -5 + -1x + x

Combine like terms: -1x + x = 0
10 + 3x = -5 + 0
10 + 3x = -5

Add '-10' to each side of the equation.
10 + -10 + 3x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -5 + -10
3x = -5 + -10

Combine like terms: -5 + -10 = -15
3x = -15

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

Simplifying
x = -5

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