2(x+5)=3-2(5+x)

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Solution for 2(x+5)=3-2(5+x) equation:


Simplifying
2(x + 5) = 3 + -2(5 + x)

Reorder the terms:
2(5 + x) = 3 + -2(5 + x)
(5 * 2 + x * 2) = 3 + -2(5 + x)
(10 + 2x) = 3 + -2(5 + x)
10 + 2x = 3 + (5 * -2 + x * -2)
10 + 2x = 3 + (-10 + -2x)

Combine like terms: 3 + -10 = -7
10 + 2x = -7 + -2x

Solving
10 + 2x = -7 + -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.
10 + 2x + 2x = -7 + -2x + 2x

Combine like terms: 2x + 2x = 4x
10 + 4x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 4x = -7 + 0
10 + 4x = -7

Add '-10' to each side of the equation.
10 + -10 + 4x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -7 + -10
4x = -7 + -10

Combine like terms: -7 + -10 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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