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

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


Simplifying
4(4 + -3x) + 1 = 2(x + 4) + -5x
(4 * 4 + -3x * 4) + 1 = 2(x + 4) + -5x
(16 + -12x) + 1 = 2(x + 4) + -5x

Reorder the terms:
16 + 1 + -12x = 2(x + 4) + -5x

Combine like terms: 16 + 1 = 17
17 + -12x = 2(x + 4) + -5x

Reorder the terms:
17 + -12x = 2(4 + x) + -5x
17 + -12x = (4 * 2 + x * 2) + -5x
17 + -12x = (8 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
17 + -12x = 8 + -3x

Solving
17 + -12x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
17 + -12x + 3x = 8 + -3x + 3x

Combine like terms: -12x + 3x = -9x
17 + -9x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + -9x = 8 + 0
17 + -9x = 8

Add '-17' to each side of the equation.
17 + -17 + -9x = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = 8 + -17
-9x = 8 + -17

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

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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