5+3(4+x)=10-2(5+x)

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Solution for 5+3(4+x)=10-2(5+x) equation: 


Simplifying
5 + 3(4 + x) = 10 + -2(5 + x)
5 + (4 * 3 + x * 3) = 10 + -2(5 + x)
5 + (12 + 3x) = 10 + -2(5 + x)

Combine like terms: 5 + 12 = 17
17 + 3x = 10 + -2(5 + x)
17 + 3x = 10 + (5 * -2 + x * -2)
17 + 3x = 10 + (-10 + -2x)

Combine like terms: 10 + -10 = 0
17 + 3x = 0 + -2x
17 + 3x = -2x

Solving
17 + 3x = -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.
17 + 3x + 2x = -2x + 2x

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

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

Add '-17' to each side of the equation.
17 + -17 + 5x = 0 + -17

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

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

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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