5-3(3x+1)=4x+(x-8)

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Solution for 5-3(3x+1)=4x+(x-8) equation:


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

Reorder the terms:
5 + -3(1 + 3x) = 4x + (x + -8)
5 + (1 * -3 + 3x * -3) = 4x + (x + -8)
5 + (-3 + -9x) = 4x + (x + -8)

Combine like terms: 5 + -3 = 2
2 + -9x = 4x + (x + -8)

Reorder the terms:
2 + -9x = 4x + (-8 + x)

Remove parenthesis around (-8 + x)
2 + -9x = 4x + -8 + x

Reorder the terms:
2 + -9x = -8 + 4x + x

Combine like terms: 4x + x = 5x
2 + -9x = -8 + 5x

Solving
2 + -9x = -8 + 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.
2 + -9x + -5x = -8 + 5x + -5x

Combine like terms: -9x + -5x = -14x
2 + -14x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -14x = -8 + 0
2 + -14x = -8

Add '-2' to each side of the equation.
2 + -2 + -14x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -14x = -8 + -2
-14x = -8 + -2

Combine like terms: -8 + -2 = -10
-14x = -10

Divide each side by '-14'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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