6x-4-(-3x+1)=x+17-(8-4x)

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Solution for 6x-4-(-3x+1)=x+17-(8-4x) equation:


Simplifying
6x + -4 + -1(-3x + 1) = x + 17 + -1(8 + -4x)

Reorder the terms:
6x + -4 + -1(1 + -3x) = x + 17 + -1(8 + -4x)
6x + -4 + (1 * -1 + -3x * -1) = x + 17 + -1(8 + -4x)
6x + -4 + (-1 + 3x) = x + 17 + -1(8 + -4x)

Reorder the terms:
-4 + -1 + 6x + 3x = x + 17 + -1(8 + -4x)

Combine like terms: -4 + -1 = -5
-5 + 6x + 3x = x + 17 + -1(8 + -4x)

Combine like terms: 6x + 3x = 9x
-5 + 9x = x + 17 + -1(8 + -4x)
-5 + 9x = x + 17 + (8 * -1 + -4x * -1)
-5 + 9x = x + 17 + (-8 + 4x)

Reorder the terms:
-5 + 9x = 17 + -8 + x + 4x

Combine like terms: 17 + -8 = 9
-5 + 9x = 9 + x + 4x

Combine like terms: x + 4x = 5x
-5 + 9x = 9 + 5x

Solving
-5 + 9x = 9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 9x + -5x = 9 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-5 + 4x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 4x = 9 + 0
-5 + 4x = 9

Add '5' to each side of the equation.
-5 + 5 + 4x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 9 + 5
4x = 9 + 5

Combine like terms: 9 + 5 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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