2(x-4)+9=5x-3(-x+1)

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Solution for 2(x-4)+9=5x-3(-x+1) equation:


Simplifying
2(x + -4) + 9 = 5x + -3(-1x + 1)

Reorder the terms:
2(-4 + x) + 9 = 5x + -3(-1x + 1)
(-4 * 2 + x * 2) + 9 = 5x + -3(-1x + 1)
(-8 + 2x) + 9 = 5x + -3(-1x + 1)

Reorder the terms:
-8 + 9 + 2x = 5x + -3(-1x + 1)

Combine like terms: -8 + 9 = 1
1 + 2x = 5x + -3(-1x + 1)

Reorder the terms:
1 + 2x = 5x + -3(1 + -1x)
1 + 2x = 5x + (1 * -3 + -1x * -3)
1 + 2x = 5x + (-3 + 3x)

Reorder the terms:
1 + 2x = -3 + 5x + 3x

Combine like terms: 5x + 3x = 8x
1 + 2x = -3 + 8x

Solving
1 + 2x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 2x + -8x = -3 + 8x + -8x

Combine like terms: 2x + -8x = -6x
1 + -6x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -6x = -3 + 0
1 + -6x = -3

Add '-1' to each side of the equation.
1 + -1 + -6x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = -3 + -1
-6x = -3 + -1

Combine like terms: -3 + -1 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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