5+4(3-2x)=3-4(x+1)-3x

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Solution for 5+4(3-2x)=3-4(x+1)-3x equation: 


Simplifying
5 + 4(3 + -2x) = 3 + -4(x + 1) + -3x
5 + (3 * 4 + -2x * 4) = 3 + -4(x + 1) + -3x
5 + (12 + -8x) = 3 + -4(x + 1) + -3x

Combine like terms: 5 + 12 = 17
17 + -8x = 3 + -4(x + 1) + -3x

Reorder the terms:
17 + -8x = 3 + -4(1 + x) + -3x
17 + -8x = 3 + (1 * -4 + x * -4) + -3x
17 + -8x = 3 + (-4 + -4x) + -3x

Combine like terms: 3 + -4 = -1
17 + -8x = -1 + -4x + -3x

Combine like terms: -4x + -3x = -7x
17 + -8x = -1 + -7x

Solving
17 + -8x = -1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
17 + -8x + 7x = -1 + -7x + 7x

Combine like terms: -8x + 7x = -1x
17 + -1x = -1 + -7x + 7x

Combine like terms: -7x + 7x = 0
17 + -1x = -1 + 0
17 + -1x = -1

Add '-17' to each side of the equation.
17 + -17 + -1x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -1 + -17
-1x = -1 + -17

Combine like terms: -1 + -17 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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