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

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


Simplifying
5 + 4(3 + x) = 4 + 2(2 + -1x)
5 + (3 * 4 + x * 4) = 4 + 2(2 + -1x)
5 + (12 + 4x) = 4 + 2(2 + -1x)

Combine like terms: 5 + 12 = 17
17 + 4x = 4 + 2(2 + -1x)
17 + 4x = 4 + (2 * 2 + -1x * 2)
17 + 4x = 4 + (4 + -2x)

Combine like terms: 4 + 4 = 8
17 + 4x = 8 + -2x

Solving
17 + 4x = 8 + -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 + 4x + 2x = 8 + -2x + 2x

Combine like terms: 4x + 2x = 6x
17 + 6x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
17 + 6x = 8 + 0
17 + 6x = 8

Add '-17' to each side of the equation.
17 + -17 + 6x = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = 8 + -17
6x = 8 + -17

Combine like terms: 8 + -17 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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